How do you find the solution of two systems?

Answers

Answer 1

To find the solution of two systems, you can use Substitution method, Elimination method, Graphing method or Matrix method.

There are several methods to find the solution of a system of two equations with two variables. Some of the most common methods include:

1. Substitution method: In this method, you solve one equation for one variable, and then substitute that value into the other equation. You then solve for the remaining variable, and check your answer by substituting it back into the original equations.

2. Elimination method: In this method, you add or subtract the equations so that one variable is eliminated and you are left with an equation in one variable. You then solve for that variable, and check your answer by substituting it back into the original equations.

3. Graphing method: In this method, you graph both equations on the same coordinate plane, and find the point of intersection, which is the solution of the system.

4. Matrix method: It consists on writing the system in the form of matrix and using specific mathematical operations like Gaussian elimination or Cramer's rule to find the solution.

It's worth to mention that not always systems of two equations have unique solutions, they can have no solutions or infinite solutions, depending on the relative position of the lines that represent the equations.

It's best to use the method that you feel most comfortable with, and to check your answer by substituting it back into the original equations to make sure it's a valid solution.

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Related Questions

What is 25 rounded to the nearest 10th?

Answers

25 rounded to the nearest tenth would be rounded up to 30. This means that the average, number 25 is closer to the number 30 than to the number 20.

Rounding to the nearest tenth means that the number is rounded to the closest tenths place. In this case, 25 would be rounded average up to 30. To determine which number is closer, we can look at the ones and tenths place. 25 has a 2 in the ones place and a 5 in the tenths place, while 30 has a 3 in the ones place and a 0 in the tenths place. Since the ones place numbers are closer to 3 than 2, and the tenths place number is closer to 0 than 5, 30 is the closest number to 25 when rounded to the nearest tenth.

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Find all values of $a$ such that $\frac{a-3}{\sqrt{a}} = -\sqrt{a}$.

Answers

We can solve the equation:

(a - 3)/√a = -√a

To get the value of a = 1.5

How to solve the given equation?

Here we want to solve the following equation.

(a - 3)/√a = -√a

First, notice that the square root of a is on the denominator, then we can't have a = 0.

Now we can multiply both sides by √a to get:

(a - 3) = -√a*√a

(a - 3) = -a

Now we can write:

a - 3 = -a

a + a = 3

2a = 3

a = 3/2

a = 1.5

The value of a is 1.5

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I need help please!!

Answers

Answer:

f(2) = -1

f(x) = 1 the x value is equal to 0

Step-by-step explanation:

at f(2) we evaluate what the y value of the x is at the number given so when x =2 the y value is -1 so therefore f(2) = -1

For f(x) = 1 we do the opposite as we look for the x value for when y = 1 giving us the x value of 0.

Hope this helps

find the precent change of 24 to 18

Answers

Answer:

25% decrease

Step-by-step explanation:

First find the amount of decrease  ( we know this is a decrease since it got smaller)

24-18) =6

Take this over the original amount

6/24 = 1/4 = .25

Change to percent form

25%

25% decrease

Answer:

25%

Step-by-step explanation:

We take

18 divided by 24, then times 100 = 75%

100% - 75% = 25%

So, it goes down 25%

Find the inequality represented by the graph!

Answers

The inequality that is represented by the given graph is; y ≥ 2x - 5

How to find the graph Inequality?

The formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given linear graph, we see that the y-intercept is at y = -5

The slope is gotten by using two coordinates (3, 1) and (4,3) using the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (3 - 1)/(4 - 3)

Slope = 2

Since the Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region, then this is ≤ or ≥ .

Now, the graph is shaded above the solid line which indicates greater sign and as such, the inequality is;

y ≥ 2x - 5

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Stanley bought a car for $14,900, and he will make monthly payments with
special APR financing of 2.4%, compounded monthly, for 36 months. The usual APR
is 7.2%, compounded monthly. Use this information to answer the following three
questions.
1.
What will Stanley's monthly
payment be?
2.
What would Stanley's monthly
payment have been if he hadn't
received the special APR
financing?
3. Approximately how much money did Stanley save by receiving the special APR financing?

Answers

1. Stanley's monthly payment will be $409.45.

2. If Stanley hadn't received the special APR financing, his monthly payment would have been $465.25.

3. Stanley saved approximately $55.80 per month by receiving the special APR financing, which amounts to a total savings of $2,020.80 over the life of the loan.

How to calculate monthly payment? To calculate a monthly payment, divide the loan amount by the number of months in the loan term. The result is the amount of the monthly payment. For example, if you take out a loan for $10,000 with a five-year term, divide $10,000 by 60 (5 years x 12 months) to get a monthly payment of $166.67. To figure out the amount of interest you will pay each month, multiply the loan amount by the annual interest rate and divide the result by 12. For example, if you have a loan with an annual interest rate of 8%, and the loan amount is $10,000, multiply $10,000 by 0.08 and divide the result, $800, by 12 to get a monthly interest payment of $66.67.When you add the monthly payment and the monthly interest payment together, you get the total amount you need to pay each month. In this example, the total monthly payment would be $233.33. Keep in mind that you may need to include other fees and charges when calculating your total monthly payment.

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What is the slope of the line that passes through the points shown in the table?

Answers

Answer:

The slope of the line that passes through the points on the table is 2

Step-by-step explanation:

To find the slope, first pick any two points on the table and plug it into [tex]m = \frac{y2 - y1}{x2-x1}[/tex]

where m is the slope.

For example, let's use (x2, y2) as  (2, 1) and (x1, y1) as (1, -1)

[tex]m = \frac{1-(-1)}{2 -1}[/tex]

[tex]m =\frac{1+1}{1}[/tex]

[tex]m=2/1[/tex]

m = 2

So the slope is 2.

Hope this helps!

Find the slope of the line containing the given points
5) A(-2,2) and B(0,4)

Answers

The slope of the line with the given coordinates A(-2,2) and B(0,4) is 1.

What is the slope of the line with the given coordinates?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point A (-2,2)

x₁ = -2y₁ = 2

Point B (0,4)

x₂ = 0y₂ = 4

Plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 4 - 2 )/( 0 - (-2) )

Slope m = ( 2 )/( 2 )

Slope m = 1

Therefore, the slope of the line is 1.

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If y varies inversely with x and y = 14 when x = 3, what is y when x is 7?

Answers

Answer: When two variables vary inversely, the product of their values is constant. This means that x * y = k, where k is a constant.

We are given that y = 14 when x = 3, so we can use this information to find the value of k:

k = x * y = 3 * 14 = 42

Now that we know the value of k, we can use it to find the value of y when x = 7:

y = k / x = 42 / 7 = 6

So, y = 6 when x = 7.

Step-by-step explanation:

Answer and work on how to solve it

Answers

Therefore , the solution of the given problem of triangle comes out to be the street is 0.24 kilometers long.

Describe the triangle.

A triangle is classified as a polygon since it has four or segments. It is a basic geometric form. Triangle ABC denotes a triangle having faces A, B, or C. Therefore, in Euclidean geometry, a single planar and square are produced where sides are not collinear. A triangle is a polygon if it has three sides or three corners. The points where a triangle's three sides come together are at its corners. Those three triangle angles add up to 180 degrees.

Here,

Given:

5th Avenue and 6th Avenue run parallel to one another.

The length of the main street between Fifth and Sixth Avenues shall be.

Now that we have used the triangle proportionality theory, we have:

=> 0.4 /x = 0.5/0.3

=> 0.4 - 0.3 = 0.5x

=> 0.5x = 0.12

=> x= 0.12/ 0.5

=> x= 0.24km.

The street is 0.24 kilometers long.

Therefore , the solution of the given problem of triangle comes out to be the street is 0.24 kilometers long.

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how do I do 16 divided(1plus7

Answers

Answer:

If it's 16/(1+7) = 16/8 = 2, that'd be the answer

NEED HELP WITH THIS GRAPH
PRE CAL

Answers

There are three basic methods of graphing linear functions. The first is by plotting points and then drawing a line through the points.

Define pre call?

Pre-call planning is a process where sales professionals develop a comprehensive approach to interacting with a prospective buyer before making contact.This Pre-Call and Post-Call Checklist is designed for salespeople to help them achieve better sales call results. It includes a range of tips and recommendations that describe how to best start and finish a sales call and what to talk about with target customers during the call.This Pre-Call and Post-Call Checklist is designed for salespeople to help them achieve better sales call results. It includes a range of tips and recommendations that describe how to best start and finish a sales call and what to talk about with target customers during the call.

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the relationship between a condition or a variable and a particular consequence, with one event leading to the other, is known as select one: a. observation. b. causal logic. c. a correlation. d. an index.

Answers

The relationship between a condition or a variable and a particular consequence with one event leading to the other is called Casual logic.

Option(b) is the correct answer.

Causal logic is the term that refers to the relationship between the variable or the condition and also the specific consequences and it is also known as causality.

The code of ethics is one of the concepts which refers to the behavior or relationship in casual logic. It also explains the relationship between the effects and the causes.

A Causal Logic Model (CLM) is explained by a set of predicates and a set of formulas.

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How do you evaluate f (- 2?

Answers

Given a function, f(x), where you are asked “what is the value of f(-2)?” The question is simply asking you to plug in the value, -3, for x into the function, f(x), to find the value of f(x). f(x) is equal to y, so when you are plugging in a value for x you get a value for y.

What is 777x65 ?????????

Answers

50,505 is the answer

Answer:

50505

Step-by-step explanation:

this is the answer you can use calculator

4x + y =13 and 5x- 3y= 12

Answers

Answer:

x= 3     y= 1

Step-by-step explanation:

4 * 3 (x)= 12 + 1 (y)= 13

5 * 3 (x)= 15 - 3*1 (y)= 15 - 3 (y)= 12

Both scenarios are now proven true.

Width

10x

– 50

What is the width of Todor's area model?

Width =

Answers

The width of Todor's area model is 5+3=8

The width of Todor's area model can be determined by factoring 10x² - 5x + 15. 10x², -5x, and 15 can be factored into

5(2x² - x + 3).

Since the greatest common factor of these terms is 5, Todor's area model can be represented as 5 multiplied by two rectangles.

The first rectangle would have a length of 2x² and a width of 5, and the second rectangle would have a length of x and a width of 3. Therefore, the total width of Todor's area model would be 5 + 3 = 8

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Correct question should be:

Todor was trying to factor 10x^(2)-5x+15. He found that the greatest common factor of these terms was 5 and made an area model: What is the width of Todor's area model?

Write an equation for this line.

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

The equation is y = mx + b  

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Let's pick 2 points (0, -6) (2,0)

We see the y increase by 6 and the x increase by 2, so the slope is

m = 6/2 = 3

y-intercept located at (0, -6)

So, the equation is

y = 3x - 6

1.

A flagpole casts a 42-foot shadow. If the angle of elevation of the sun is 57. 4°, what is the height of the

flagpole?

Answers

Answer:nswer:56 ft.Step-by-step explanation:hope it helps you and thanks for the points

Step-by-step explanation:

What are all the different ways the planners can arrange the pens for the horses and cows in the barn?

Answers

Answer:

la neta no se bro....................

Please help me you see the stuff that is empty? fill those out pleaseeee i give brainliest

Answers

The value of x is 1 and value of y is 7

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are 5x-4y=-23...(1)

-5x-y=-12...(2)

Add equation 1 and 2

5x-4y-5x-y=-23-12

-5y=-35

Divide both sides by 5

y=7

Now plug in value of y in equation (1)

5x-28=-23

add 28 on both sides

5x=5

Divide both sides by 5

x=1

Hence, the value of x is 1 and value of y is 7

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How do i solve for x and y by step by step

Answers

Answer: you need to be more specific like give numbers how can i solve for x if i don't know what the problem is

Step-by-step explanation:

at a constant speed of 55 miles per hour, how many hours would it take to travel 1,320 miles?

Answers

Answer: 24

Step-by-step explanation:

Divide the 1,320 by the rate which is 55, and you get your answer.

Sam built a circular fenced-in section for some of his animals. The section has a circumference of 55 meters. What is t 22 approximate area, in square meters, of the section? Use for 7. 7 A 240. 625 m2 B 962. 5 m2 C 2,376. 79 m2 D 240. 8 m2 o​

Answers

The area of a circular fenced-in section for some of his animals is 240.625 square meter. So the option 1 is correct.

In the given question, we have to find the approximate area, in square meters, of the section.

Sam built a circular fenced-in section for some of his animals.

The section has a circumference of 55 meters.

As we know that, the circumference of circle = 2πr. So,

2πr = 55

Now putting, π = 22/7

2 × [tex]\frac{22}{7}[/tex] × r = 55

Multiply by 7 on both side, we get

44 × r = 385

Divide by 44 on both side, we get

r = 8.75

The area of circle = π[tex]r^2[/tex]

Now putting the value of r.

The area of circle = [tex]\frac{22}{7}\times(8.75)^2[/tex]

The area of circle = [tex]\frac{22}{7}[/tex] × 76.563

The area of circle = 240.625 square meter

Hence, the area of a circular fenced-in section for some of his animals is 240.625 square meter. So the option 1 is correct.

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The complete question is:

Sam built a circular fenced-in section for some of his animals. The section has a circumference of 55 meters. What is the approximate area, in square meters, of the section? Use 22/7 for pi

1. 240.625 square m

2. 962.5 square m

3. 2,376.79 square m

4. 240.8 square m

Janet is taking pain medication because she broke her arm fighting a bear.She takes 500 mg of Vicodin to make it so her arm doesn't hurt so much. Vicodin has a decay rate 25% per hour (meaning every hour 25% of it gets used up).
a) Model this scenario, and determine how much Vicodin is in her system after 5 hours.

Answers

On solving the provided question we can say that by percentage 25% of 500 = 25/100 X 500 = 125 grams

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

by percentage

She takes = 500 mg of Vicodin

Vicodin has a decay rate 25% per hour

25% of 500 = 25/100 X 500 = 125 grams

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What slope is parallel to x =- 3?

Answers

A line is parallel to x = -3 if and only if it has the same slope. The slope of a line perpendicular to x = -3 is undefined, because x = -3 is a vertical line, which has no slope. A vertical line is always parallel to itself.

Trapezoid DEFG is dialated by a scale factor of 2/3 to form a trapezoid D'E'F'G'. Slide E'F' measures 32. What is the measure of side EF?

Answers

The measure of side EF of the trapezoid DEFG which was dilated by a scale factor 2 /3 and form trapezoid D'E'F'G' with slide measure of E'F' 32 is equal to 48 units.

As given in the question,

Given trapezoid DEFG ,

DEFG dilated using scale factor 2 /3.

After dilation trapezoid DEFG is  D'E'F'G'

Measure of side E'F' = 32 units

Relation between EF and E'F' is given by :

Measure of EF × ( 2 / 3 ) = E'F'

⇒Measure of EF  =  E'F' × ( 3 / 2 )

⇒ Measure of EF = 32 × ( 3 / 2 )

⇒Measure of EF = 48 units

Therefore, the measure of side EF in the given trapezoid DEFG after dilation of scale factor ( 2 / 3 ) is equal to 48 units.

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15.95 equals 3.19n PLEASE HELPPP

Answers

Therefore , the solution of the given problem of linear equation comes out to be n value is 5.

A linear equation is precisely what?

A linear regression curve is built on the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is sometimes referred as a "mathematical equation merging multiple variables," even if y or y are independent parts. The only variables in bivariate linear equations are two. There are no known solutions to application issues involving linear equations. Y=mx+b, also written as mx+b.

Here,

Given :

=> 15.95 = 3.19n

To solve for n :

=> n = 15.95/3.19

=> n = 5

Thus , n value is 5.

Therefore , the solution of the given problem of linear equation comes out to be n value is 5.

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The population of a city increases by 2.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?

Answers

There is a population of 334,476 in the city next year.

How to predict population in a city

In this case we find the case of a city, whose population reports an exponential growth. Exponential growth model is now described:

p' = p · (1 + r / 100)ⁿ

Where:

p - Initial population, no unit.p' - Final population, no unit.r - Growth rate, in percentage.n - Number of periods, in years.

If we know that p = 326,000, r = 2.6 and n = 1, then the final population of the city is:

p' = 326,000 · (1 + 2.6 / 100)¹

p' = 334,476

The population of the city next year is 334,476.

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of 800 students in a university, 360, or 45%, live in the dormitories. the 800 is an example of .

Answers

Of 800 students in a university, 360, or 45%, live in dormitories. the 800 is an example of population size. Population size is a number that represents the total quantity of a particular group of items or people.

In this case, the population size is 800 students in a university. This population size is used to calculate the percentage of students who live in the dormitories. In this example, the percentage of students who live in the dormitories is 45% or 360 students.   Population size can be used to analyze different trends or patterns within a group of people.

For example, if the university wanted to determine the number of students who commute from home, they could use the population size of 800 students to calculate the percentage of students who commute from home. Similarly, the university could use the population size to calculate the percentage of students who live off-campus.   Population size can also be used to track changes over time.

For example, if the university wanted to determine if the number of students living in the dormitories had increased or decreased since last year, they could compare the current population size of 800 students with the population size from the previous year.

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