# Solve the system of equations by eliminating the y variable:

#### GIjoefan1976

Solve the system of equations by eliminating the y variable:

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#### EvanJ

Multiply all three terms in the second equation by 2. Then add the two equations and you will be left with only x terms and constants.

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#### GIjoefan1976

Multiply all three terms in the second equation by 2. Then add the two equations and you will be left with only x terms and constants.
okay thanks so I get

3x+2y=-21
10x-2y=-22

then becomes 13x=43 so is my answer 43/13x?

#### EvanJ

okay thanks so I get

3x+2y=-21
10x-2y=-22

then becomes 13x=43 so is my answer 43/13x?
No, because you need to multiply the -22 by 2. When multiplying an equation by a constant, make sure to multiply both sides of the equation.

#### GIjoefan1976

No, because you need to multiply the -22 by 2. When multiplying an equation by a constant, make sure to multiply both sides of the equation.
ah, thanks so much

#### Schnibob

1. Multiply the second equation by 2

3x + 2y = -21
5x - y = -22

-->

3x + 2y = -21
10x - 2y = -44

2. Make it just one equation by solving the simultaneous equation

13x +2y - 2y = -65
13x = -65

3. Solve for x and y

13x = -65
x = -65/13
x = -5

Substitute into equation

5(-5) - y = -22
-25 - y = -22
-y = 3

y = -3

Overall:

x = -5
y = -3