# How do you solve x + 3y = -7 and -x + 2y = -8?

Sep 10, 2015

So the answered is x = 2 and y = -3

#### Explanation:

In order to solve x + 3y = -7 and -x + 2y = -8, you must use the elimination method for solving linear equations.

In this case, you will have to find y and x.

We will have to line them up like this

$$        x + 3y = -7      As you can see, the easiest one to solve for is y
+ ( -x + 2y = -8)    because you could cancel the x
_________
5y = -15
y = -3


Now you plug y back to any of the of the linear equation.

lets choose x + 3y = -7
x + 3(-3) = -7
x - 9 = -7
x = 2

If you plug x and y back to the linear equation, you should get the answered

So the answered is x = 2 and y = -3