The OLS assumption that is violated when predicted errors have a kurtosis of 5 is normality. The correct option is (d). Kurtosis is a statistical measure of the peak of a probability distribution curve. It measures how the tails of the distribution compare to a normal distribution.
Oridinary Least Squares (OLS) is a regression technique that assumes that the response variable has a linear relationship with the explanatory variable(s) and that the response variable has normal distribution error terms. However, in some cases, such as when the predicted errors have a kurtosis of 5, this assumption of normality is violated. If the distribution has more of its observations in the tails than a normal distribution, it is said to be leptokurtic. If it has fewer of its observations in the tails than a normal distribution, it is said to be platykurtic.
Kurtosis of 5 means that the distribution is leptokurtic and has fatter tails than the normal distribution.Assuming normality of the errors means that the residuals or errors are normally distributed. If the errors are not normally distributed, then the residuals will not be normally distributed either. This will affect the accuracy of the confidence intervals and hypothesis tests. The coefficient estimates may be biased and the confidence intervals may be too wide or too narrow. Therefore, normality of the errors is an important assumption of OLS regression and in this case it has been violated.
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Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-1,9)
(0.-2)
(4,7)
The coordinates of the fourth vertex of the parallelogram are given as follows:
(-5,0).
How to obtain the coordinates of the fourth vertex?To find the coordinates of the fourth vertex of the parallelogram, we need to use the fact that opposite sides of a parallelogram are parallel and equal in length. We can use the given three vertices and their coordinates to find the vector representing one of the sides of the parallelogram, and then use this vector to find the fourth vertex.
For the fourth vertex, we have that:
It is 5 units left of (0, -2), as 4 - (-1) = 5, hence the x-coordinate is of 5.It is 2 coordinates above of (0,-2), as 9 - 7 = 2, hence the y-coordinate is of 0.Hence the coordinates of the vertex are of:
(-5,0).
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Can someone please help me with this asap? I will give brainliest if it’s all done correctly
Show work please
Answer:
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards is 11/26 or approximately 0.423.
Step-by-step explanation:
Part A
No, selecting a face card and selecting a spade when randomly selecting one card from a standard deck of cards are not mutually exclusive events. This is because there are face cards that are also spades, so there is an overlap between the two events.
Part B
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards can be calculated as follows
P(face card or spade) = P(face card) + P(spade) - P(face card and spade)
Part C
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards can be calculated as follows
P(face card or spade) = P(face card) + P(spade) - P(face card and spade)
P(face card or spade) = 12/52 + 13/52 - 3/52
P(face card or spade) = 22/52
P(face card or spade) = 11/26
Hence, the probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards is 11/26 or approximately 0.423.
pls answerrrrr
with simple working
Answer:
it goes by minus 8 each time so just put the number and negative 8 each time on a paper and the 20th term would be your answer
Please help I’ll give brainliest!
Answer: -2x(x-5)(x+4)
Step-by-step explanation:
Answer:
Step-by-step explanation:
add it up and then multiply and then you divide and you got the answer so may i please have brinliest. sir
so its x27
10 POINTS! PLEASE HELP! CORRECT ANSWERS ONLY!
Answer:5f+6g+12
Step-by-step explanation:
10f-5f=5f
8+4=12
5f+6g+12
Three dozen blocks were in a bag. Four were red. What is the probability that a block removed at random will NOT be red?
Answer:
9
Step-by-step explanation:
1 dozen -12
there dozen - 36
thus
red blocks -4
36/4
= 9
Whitney deposited money into an account in which interest is compounded quarterly at a rate of
2. 9%. She made no other deposits or withdrawals and the total amount in her account after 12 years
was $10,891. 31.
How much did she deposit?
O
$7700
O
$8650
O
$9700
o $10,580
Next
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 10891.31\\ P=\textit{original amount deposited}\\ r=rate\to 2.9\%\to \frac{2.9}{100}\dotfill &0.029\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &12 \end{cases}[/tex]
[tex]10891.31 = P\left(1+\frac{0.029}{4}\right)^{4\cdot 12} \implies 10891.31=P(1.00725)^{48} \\\\\\ \cfrac{10891.31}{1.00725^{48}}=P\implies 7700\approx P[/tex]
Which of the following gives the correct range for the graph?
A coordinate plane with a segment going from the point negative 5 comma negative 2 to 0 comma negative 1 and another segment going from the point 0 comma negative 1 to 2 comma 3.
a −5 ≤ x ≤ 2
b −5 ≤ y ≤ 2
c −2 ≤ x ≤ 3
d −2 ≤ y ≤ 3
Answer: Its B.) −5 ≤ y ≤ 2
Step-by-step explanation: The graph shows one part of the interval increasing which is the y value and stops at 3. The X interval which is the decreasing interval stops at -5. So this would be -5 greater then or equal to y greater then or equal to 2.
Sorry if wrong! Have a nice day :)
A standardized test is given to a sixth grade class and a seventh grade class. The superintendent believes that the variance in performance from the sixth grade class is greater than the variance in performance from the seventh grade class. The sample variance of a sample of 19 test scores from the sixth grade class is 34. 66. The sample variance of a sample of 18 test scores from the seventh grade class is 6. 3. Test the claim using a 0. 1 level of significance. Let σ21 represent the population variance for sixth grade class.
Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.
Please do all steps
The answer is 4.4753, i.e. the critical value of the statistic upto four decimal places.
Step 1 of 5: State the null and alternative hypotheses.Null hypothesis (H0): σ21 = σ22
Alternative hypothesis (H1): σ21 > σ22
Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma.Round your answer(s) to four decimal places.
Critical value = 4.4753
Step 3 of 5 : Calculate the test statistic:Test statistic = 34.66/6.3 = 5.5
Step 4 of 5 : Make a decision:The test statistic (5.5) is greater than the critical value (4.4753), so we reject the null hypothesis and accept the alternative hypothesis.
Step 5 of 5 : State a conclusion:We conclude that the variance in performance from the sixth grade class is greater than the variance in performance from the seventh grade class at a 0.1 level of significance.
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Language arts Algebra 1 T.16 Compare linear functions: tables, graphs, and equations GOT Function A Function A and Function B are linear functions. -10-22 9 Analytics -20 16 Function B y = 3x Which statement is true? Science Submit The y-intercept of Function A is greater than the y-intercept of Function 8. & Recommendations The y-intercept of Function A is less than the y-intercept of Function B. Work it out Not feeling rea These help:
The true statements about the functions A and B are
C. The y-intercept of Function A is greater E. The rate of change of Function A is lesserHow to determine the true statement about the functionsGiven that
Function B: y = 3x + 4
A linear equation is represented as
y = mx + c
Where
Rate of change = m
y-intercept = c
Using the above definition, we have the following summary for function B
Rate of change = 3 and y-intercept = 4
For function A (the table), we have
Rate of change = (10 - 2)/(3 - 1)
Rate of change = 4
While the y-intercept is
y-intercept = 2 - 4
y-intercept = -2
So, we have
Function A Function B
Rate of change 3 4
y-intercept 4 -2
By comparing the features, we have the following true statements
C. The y-intercept of Function A is greater than the y-intercept of Function B.
E. The rate of change of Function A is less than the rate of change of Function B.
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Complete question
Function A and Function B are linear functions. Function A is represented by the table of values. Function B is represented by the equation.
Function A
x 1 3 4 7
y 2 10 14 26
Function B
y = 3x + 4
Which statements about the properties of Function A and Function B are true? Select each correct statement.
A. The y-intercept of Function A is equal to the y-intercept of Function B. B. The y-intercept of Function A is less than the y-intercept of Function B. C. The y-intercept of Function A is greater than the y-intercept of Function B.
D. The rate of change of Function A is equal to the rate of change of Function B.
E. The rate of change of Function A is less than the rate of change of Function B.
F. The rate of change of Function A is greater than the rate of change of Function B.
3/5 kilogram of soil fills 1/3 of a container can 1 kilogram of soil fit
in the container
1 kilogram of soil will fit in the container, since 1 kilogram is less than 27/5 kilograms.
What is the fraction of 1 kg soil in the container?
We can start by using ratios to solve this problem.
From the information given, we know that:
3/5 kilogram of soil fills 1/3 of the containerWe want to know how much soil will fit in the entire container (which is equivalent to 3 times the amount that fills 1/3 of the container)
To find out how much soil fills the entire container, we can set up a ratio:
(3/5 kg of soil) : (1/3 of container) = (x kg of soil) : (1 container)
We can cross-multiply to solve for x:
(3/5 kg of soil) * (1 container) = (1/3 of container) * (x kg of soil)
Multiplying both sides by 3/1 gives:
(3/5) * 3 * (1 container) = (1/3) * x
Simplifying gives:
9/5 = 1/3 * x
Multiplying both sides by 3 gives:
27/5 = x
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The complete question is below:
3/5 kilogram of soil fills 1/3 of a container can, 1 kilogram of soil fit ? in the container
The couple asked the architect to add a square garden shed to the plans that she
drew. She added a square garden shed with coordinates (-2,8), (1,8), (1, 11), and
(-2, 11) to the plans. Discuss the following with a partner:
• How could you find the perimeter and area of the shed without graphing
the coordinates?
• How is this problem different from finding the perimeter and area of the
base of the house?
. Can you use the same strategy to solve both problems? Why or why not?
Answer:
To find the perimeter and area of the square garden shed without graphing the coordinates, you can use the distance formula to calculate the length of one side of the square. The distance formula is d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points. Using this formula with the coordinates of two adjacent corners of the square, such as (-2,8) and (1,8), we find that the length of one side of the square is 3 units. Since all sides of a square are equal in length, the perimeter is 4 times the length of one side, or 12 units. The area of a square is equal to the length of one side squared, so the area of the square garden shed is 9 square units.
This problem is different from finding the perimeter and area of the base of a house because it involves a square shape rather than a more complex shape. However, you can use similar strategies to solve both problems by calculating distances between points and using geometric formulas to find perimeter and area. The specific formulas used may vary depending on the shape of the base of the house.
Construct a triangle with the given side lengths. The lines are 5.1, 5.1, and 7.37 centimeters.
The reading on the thermometer is -20 degrees Fahrenheit and the temperature rises with 20 degrees Fahrenheit. What will be the new reading be?
As per the given temperature, the new reading is 0°F
The formula for converting Fahrenheit to Celsius is (°F - 32) x 5/9 = °C. We can use this formula to determine the new temperature in Celsius and then convert it back to Fahrenheit.
First we have to convert the initial temperature to Celsius
(-20°F - 32) x 5/9 = -28.89°C
Now we have to add 20 degrees Fahrenheit to the initial temperature
-20°F + 20°F = 0°F
And then we have to convert the new temperature to Celsius
(0°F - 32) x 5/9 = -17.78°C
When we convert the new temperature from Celsius back to Fahrenheit
-17.78°C x 9/5 + 32 = 0°F
Therefore, the new reading on the thermometer will be 0 degrees Fahrenheit, which indicates that the temperature has risen by 20 units on the Fahrenheit scale.
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Use the function below to find F(4). F(x)=5 times (1/3)^x
Answer: 5/81
Step-by-step explanation:
F(4) = 5 * (1/3) ^ 4
F(4) = 5 * 1/81
F(4) = 5/81
Martin is x years old. Jennifer is 3 years younger than Martin. Connor is twice as old as Martin. Write an expression for Jennifer’s age.
Answer:
x-3
Step-by-step explanation:
martin = x
jennifer = x-3
connor = 2x
what is jennifer's age?
I NEED HELP ON 6-7 ASAP!!
Step-by-step explanation:
disculpa, te recomiendo acercar más la foto para porder
te ayudar
The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57 if a value of 110.5° is added to the data, how does the mean change and by how much? a. the mean increases by 2.3°.b. the mean increases by 2.7°. c. the means stays at 80.4°. d. the mean stays at 82.7°.
Answer:
The measure which changes the most is the mean and the new value is 84°
The correct answer option is option B
Step-by-step explanation:
How to calculate mean and median?
Given data set:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Median = (100 + 105) / 2
= 205/2
= 102.5°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12
= 965 /12
= 80.4°
Range = Highest value - lowest value
= 105 - 57
= 48°
Interquartile range = Third quartile - First quatile
= 88.5° - 74°
= 14.5°
If 58° is changed to 101°
101, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Median = (100 + 105) / 2
= 205/2
= 102.5°
Mean = (101 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12
= 1008 /12
= 84°
Range = Highest value - lowest value
= 105 - 57
= 48°
First quartile = (71 + 77) / 2
= 148/2
= 74°
Third quartile = (95 + 82)/2
= 177/2
= 88.5°
Interquartile range = Third quartile - First quatile
= 88.5° - 74°
= 14.5°
Therefore, the new mean is 84°
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Please Show detailed algebraic work.
As a result, it takes around 0.25 minutes for the oven to reach 300°F, or equation roughly 15 seconds. Rounded to the closest minute, the answer is 0 minutes.
What is equation?A math equation is a mechanism for connecting statements and indicating equivalence with both the equals symbol (=). An equation is an algebraic claim that asserts the equivalency of two formulae in algebra. In the calculation 3x + 5 = 14, for example, the equivalence sign separates the numbers 3x + 5 and 14. To explain the relationship among the two words on each surface of a letter, a formula can really be employed. The software and the logo are usually interchangeable. For instance, 2x - 4 equals 2.
Set T = 300 in the equation and solve for t to discover the number of minutes it takes for the oven's temperature to reach 300°F:
T = 400 - It
300 = 400 - It / subtraction T = 300
It = 400 - 300
It = 100
t = 100 / I
T = 400 minus It I = (400 minus T) / t
When we substitute T = 0 and T = 1, we get:
I = (400 - 0) / 1\sI = 400
Now we can substitute I = 400 into the equation we found before for t:
t = 100 / I\st = 100 / 400\st = 0.25
As a result, it takes around 0.25 minutes for the oven to reach 300°F, or roughly 15 seconds. Rounded to the closest minute, the answer is 0 minutes.
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What is the equation of a line that is parallel to the line whose equation is y=x+ 2?
Oy-x=-1
O 2x+y = -2
Oy-2x = 3
O x + y = 5
Answer:
[tex]y-x=1[/tex]
Step-by-step explanation:
All the other choices are incorrect because when put in slope-intercept form (y = mx + b), the slope is not equal to 1. The slope of the lines for the other equations are [tex]-\frac{1}{2} , 2, and -1[/tex]. Only the first choice has a slope of 1 like the given equation.
Identity the dependent variable and the independent variable in each situation
The distance traveled, d, and the speed, s
Situation 1:
Dependent variable: Distance traveled (d)
Independent variable: Speed (s)
Situation 2:
Dependent variable: Speed (s)
Independent variable: Distance traveled (d)
What are dependent variable?The dependent variable is the variable being studied or measured in an experiment or observation. It is the output or response that is being examined based on changes in the independent variable.
What are independent variable?An independent variable is a variable that is manipulated or controlled by the experimenter in order to observe the effect on the dependent variable. It is also sometimes called the predictor variable.
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You are currently at point A on a circle, and you want to get to point B on the circle. You are trying to minimize the distance walked. You can either walk into the middle of the circle and then out of the circle, or you can walk around the edge of the circle. At what minimum distance between A and B do you walk in and then out of the circle in order to minimize the distance walked? State the answer as a % of total circumference.
To minimize the distance walked, and the minimum distance is 31.8% of the total circumference of the circle.
What is the minimum distance between A and B?
If we draw a line segment from A to B, it will intersect the circle at two points, C and D. We can find the distance AC and the distance BD by using the Pythagorean theorem.
Let r be the radius of the circle, and let x be the distance we walk in and then out of the circle.
Then, we have:
AC = √(r^2 - (x/2)^2)
BD = √(r^2 - (x/2)^2)
The total distance we walk is AC + BD + AB. Since AB is fixed, we want to minimize AC + BD.
AC + BD = 2√(r^2 - (x/2)^2)
To minimize this expression, we need to maximize the value inside the square root. That means, we need to set (x/2)^2 to be as small as possible.
In other words, we want x to be as large as possible.
The maximum value of x is the diameter of the circle, which is 2r.
If we walk in and out of the circle along the diameter, then AC and BD are both equal to r, and the total distance we walk is 2r + AB.
Therefore, the percentage of the total circumference that we walk in and out of the circle is:
2r / (2πr) * 100% = 100/π ≈ 31.8%
So, we need to walk in and out of the circle at two points that are opposite to each other, along a diameter, to minimize the distance walked, and the minimum distance is approximately 31.8% of the total circumference of the circle.
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Okay, I really need help, it’s a cooking need of help so I was making pasta, and I used a smaller top on a big pot (I know, I know..) and now it won’t come off, I’ve tried banging it around the edges, I put cold water on it, and I used dish soap to pry it open, nothing. I am not putting it in the freezer for it to cool off. Please help me!
Answer:
Dry your hands from the soap and try twisting the lid of the pan. This will cause it to start to turn. If you put it in the freezer it will be harder to take it off. My guess is by twisting the lid, you would be able to cause enough friction to take the lid off.
Step-by-step explanation:
If this doesn't work try tilting the lid and then lifting it
Answer:
Try soaking it in hot water. The pot only if possible. The top is smaller and if the pan expands it should loosen up
Find the distance, c, between (3, –4) and (–7, 1) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
c ≈ 11.2
Step-by-step explanation:
Using the distance formula, we have:
c = √[(x2 - x1)² + (y2 - y1)²]
c = √[(-7 - 3)² + (1 - (-4))²]
c = √[(-10)² + 5²]
c = √(100 + 25)
c = √125
c ≈ 11.2
Therefore, the distance between the two points is approximately 11.2 units.
[tex]\sqrt{(-7-3)^{2} + (1-(-4))^{2} } = \sqrt{(-10)^{2} + (5)^{2} } = \sqrt{100 + 25} \\[/tex]
[tex]= \sqrt{125} = 5\sqrt{5} =11.2[/tex]
PLSSSS HELPP WILL GIVE BRAINLIEST!!!!
Answer:
Proved
Step-by-step explanation:
In triangles ABD and CBD,
Angle CDB = Angle ADB (given in Question)
Angle CBD = Angle ABD ( Angle Bisector Therom)
BD = BD ( Common side)
Therefore Triangle ABD is congruent to Triangle CBD by ASA
Hope it helps :)
Please can someone help!
Answer: 20.1 m
Step-by-step explanation:
using the formula circumference = 2pi r:
[tex]126=2\pi r[/tex]
divide 2 pi on both sides
[tex]r=\frac{126}{2\pi }[/tex]
r = 20.05
r = 20.1 m
Georg Cantor Accounting purchased a new computer system for $3,500. The total
resale value after 5 years is estimated to be $525. Using the straight-line method,
Cantor Accounting determined that the computer system would depreciate $595
per year. Use the table above to determine the book value at the end of the third
year.
Possible answers.
(A) $1,690
(B) $1,715
(C) $1,865
(D) $1,940
The book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case, the computer system cost $3,500 and was estimated to have a resale value of $525 after five years.
This means that the computer system will depreciate $595 each year.
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: -$595
Book Value at End of 3rd Year= $3,500 - ($595 x 3) = $1,690
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According to the data given in the question, the book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case,
the computer system cost= $3,500
estimated resale value after five years= $525
depreciation of the computer system each year= $595
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: $595
Book Value at End of 3rd Year
= $3,500 - ($595 x 3)
= $1,690
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x= 2 cos³t y = 2 sin ³ t
find the cartesian equation
Answer:
[tex]y^2 = x^3 / 2^{3/2}[/tex] or [tex]y = x^{3/2} / 2^{3/4}[/tex]
Step-by-step explanation:
We can use the identity [tex]cos^3(t) = cos(t)*cos^2(t) and sin^3(t) = sin(t)*sin^2(t)[/tex] to rewrite the given parametric equations in terms of x and y:
[tex]x = 2cos(t)*cos^2(t) = 2x^2 - 2y^2[/tex]
[tex]y = 2sin(t)*sin^2(t) = 2xy^2[/tex]
Solving for y in terms of x, we get:
[tex]y = x^{3/2} / 2x^{3/4}[/tex]
Therefore, the cartesian equation of the curve is:
[tex]y = x^{3/2} / 2^{3/4}[/tex]
or, equivalently:
[tex]y^2 = x^3 / 2^{3/2}[/tex]
Which inequality is equivalent to 5(2x-6)+6(3-x)<2x+4
By answering the given question, we may state that Therefore, the equivalent inequality is: x < 2
What is inequality?A relationship between two terms or values which is not equal is known as an inequality in mathematics. Inequality follows imbalances, therefore. In mathematics, an inequality makes a link among two quantities that are not equal. Egality and inequality are different. Use the not similar symbol most frequently when two components are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two parts until only the variables are left, one can solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left & right.
inequality using basic algebraic operations:
5(2x-6)+6(3-x)<2x+4
10x-30+18-6x < 2x+4
4x - 8 < 0
4x < 8
x < 2
Therefore, the equivalent inequality is:
x < 2
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Brainliest would be rewarded+100 points!!!
I need this answered fast because I'm on a time limit!!!
Answer:
Add to eliminate X
Step-by-step explanation:
To eliminate a variable, we need to make its coefficient equal and opposite in the two equations. In this case, we can see that the coefficient of x in both equations is the same (6x), so we can eliminate x by adding the two equations.
When we add the two equations, the x term will cancel out, leaving us with the equation:
9y = 36
We can then solve for y by dividing both sides by 9:
y = 4
Now that we know the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:
6x + 5y = 12
6x + 5(4) = 12
6x + 20 = 12
6x = -8
x = -4/3
Therefore, the solution to the system of equations is x = -4/3, y = 4.