solve each system by eliminating one of the variables by addition or
subtraction.

Solve Each System By Eliminating One Of The Variables By Addition Orsubtraction.

Answers

Answer 1

Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]


Related Questions

where is the whole number in 34.50​

Answers

Answer:

34

Step-by-step explanation:

Which one is not a function? DONT USE THE LINK SCAM, I really need help

Answers

C is not a function

What does the math equation y-2=

Answers

Answer:

5

Step-by-step explanation:

your answer is 5 hope it help

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

Answers

Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Because you need a big amount of people to ask for it to be a A good statistical question.

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

Please help I AM BEGGING YOU

Answers

Answer:

600 sq.ft.

Step-by-step explanation:

10 * 24 = 240 / 2 = 120

20*24 = 480

480+120 = 600

600 sq.ft.

Answer:

720

Step-by-step explanation:

So there are two things you need to remember to sovle this problem.

First, the formula for area of a square. This is just base x height.

Second, the formula for area of a triangle. THis is just 1/2 x base x height.

Lets plug our values into both formulas and see what we get.

So the area of the square would be:

24 x 20.

This is 480.

Now that we know the area of the square is 480, lets find the area of the traingle:

1/2 x 24 x 20

This will get you 240.

Low lets just add the two together, and we get:

240+480=720

So the area is:

720

Can someone please help me I will mark u brilliant

Answers

Answer:

1 cubic inch

Step-by-step explanation:

For rectangular prism:

[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]

Answer: The volume is 1 cubic inch.

Step-by-step explanation:

Volume of 1 cube

V= l*w*h

V= 1/2*1/2*1/2

V= 1/8 or 0.125

Volume of Prism

8*1/8= 1

If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.

Answers

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

Explain what median is and how to solve for it

Answers

The median is the middle value in the list of numbers. to find the median list your numbers from smallest to largest and find the middle!

Answer: See below

Step-by-step explanation:

Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.

1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.

For example, if we are given a data set {1, 3, 4, 2, 5}. First, we line them up by increasing order, which becomes {1, 2, 3, 4, 5}. Since it is an odd number set, we can directly get the median which is 3.

2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.

For example, if we are given a data set {2, 6, 4, 10, 8, 12}. First, we line them up by increasing order, which becomes {2, 4, 6, 8, 10, 12}. Since it is an even number set, we get our median from the two numbers in the middle, which are {6, 8}. We add them together to get 14 and then divide by 2 which is 7. So the median will be 7.

Hope this helps!! :)

Please let me know if you have any questions.

7. Solve the story problem.
Bailey has collected 9 shells from the
Atlantic Ocean and 3 times as many
shells from the Gulf of Mexico. How
many shells does she have altogether?
shells

Answers

She has 36 shells

9+(9*3)

9+27

=36

Please mark as brainliest. :)

Find the equation of the line which passes through (0, 7) at a gradient of 3.

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7

So, y-intercept (b) = 7

Gradient (or slope m) = 3

Equation of line in slope intercept form is given as:

y = mx + b

Plugging m = 3 and b = 7 in the above equation, we find:

y = 3x + 7

This is the required equation of line.

Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5

lim
x → ∞

Answers

Answer:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Step-by-step explanation:

We want to evaluate the limit:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]

To do so, we can divide everything by x². So:

[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]

Now, we can apply direct substitution:

[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]

Any constant value over infinity tends towards 0. Therefore:

[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]

Hence:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]

The limit of a constant is simply the constant.

We acquire the same answer.

find the numerical coefficient of 7x^3​

Answers

Answer:

7

Step-by-step explanation:

A rectangle is 4 times as long as it is wide. If the area is 64 square feet, find its perimeter

Answers

Answer:

40 feet

Step-by-step explanation:

long sides are 16

short sides are 4

Perimeter is l + l + w + w

so 16 + 16 + 4 + 4

= 40

The perimeter of the given rectangle is 40 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is defined as the sum of all the four sides of the rectangle.

The perimeter of a rectangle = 2( l + b)

It is given that rectangle is 4 times as long as it is wide. If the area is 64 square feet,

The area is 64 square feet = l x w

So,

The long sides are 16

The short sides are 4

Perimeter = 2 (l + w)

Perimeter = 2( 16  + 4)

Perimeter = 40

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

help pleaseeeeeeeeeeeeeee

Answers

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

Please answer


On the last page of her spiral
she found a note that tells
her to multiply the number
of
pages she has filled by 17.
The note also tells her to
take her answer to the
school office
to pick up a prize if the
answer is correct. What is
the correct answer?
A 2,432
B 1,240
C 2,346
D 2,436

Answers

Answer:

the correct answer is 2,432

There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.

Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?" (4 points)

Group of answer choices

Number line with closed circle on 2 and shading to the right.

Number line with open circle on 2 and shading to the left.

Number line with open circle on 2 and shading to the right.

Number line with closed circle on 2 and shading to the left.

Answers

Answer: The 3rd answer

Step-by-step explanation:

Since there is already 3 people in the club all you need is something greater than 2 so answer number 3 is the correct one since it says greater then 2.

Hope this helped! :)

Find the area of irregular shapes

Answers

So far, we have found area for rectangles, triangles, trapezoids, and circles. An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas. But some irregular figures are made up of two or more standard geometric shapes. To find the area of one of these irregular figures, we can split it into figures whose formulas we know and then add the areas of the figures.

10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42

Answers

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49

Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???

Answers

Answer:

ESTEBAN IS FOKING BROKE

Step-by-step explanation:

Can someone help me with this question please?

Answers

Answer:

35

Each sequence has a difference of eight numbers so we add 8 numbers in each sequence

Answer:

a) (i) 36

(ii) previous+8

b) 75

Step-by-step explanation:

a) (i) 27+8=36

(ii) previous+8

b) 10 th term is 3+9×8= 75

Find the distance between the pair of points (3, 5) and (-3, 8)

Answers

Answer: 3

Step-by-step explanation:

One leg of a right triangle has a slope of -4. What is the slope of the other leg?

Answers

Answer:

Step-by-step explanation:

1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.

Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)

Answers

C (the third one) {(2,1),(-1,7), (6,-2), (10,3),(-6,0)}
C is your correct answer, hope I could help!

Write 3 ratios equivalent to 2/5

Answers

Answer:

4/10, 6/15, 8/20

Step-by-step explanation:

Decide whether the statement is true or false.
{2, 15, 6} U Ø = {2. 15, 6)​

Answers

Iehejejakkajsnsjananamdowojansnw

Answer:

False

Step-by-step explanation:

Try to answer this question for me pleaseee

Answers

Answer:

H

Step-by-step explanation:

180-48=132

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

75:45
Step-by-step explanation:
3*15=45
5*15=45

someone please help me answer this

Answers

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Solve the system of equations x - y = 12 and x + 7y = -20 by combining the
equations.

Answers

Answer:

x=16, y=-4

Step-by-step explanation:

-1(x-y=12)

x+7y=-20

-x+y=-12

x+7y=-20

8y=-32

y=-4

x-4=12

x=16

Answer:

x= 8, y= -4

Step-by-step explanation:

You can subtract one equation by another to eliminate x

(x-y)-(x+7y)=12-(-20)

-8y = 32

y= -4

Substitute y =  -4 in the first equation:

x-(-4) = 12

x =8

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