# How do you solve the system of linear equations x+y=-2 and 2x-y=5?

Mar 14, 2018

Elimination will work best and will yield: x = 1 , y = -3

#### Explanation:

Your goal here is to get rid of one of the variables so you can solve for the other one.

Our two equations:
$x + y = - 2$
$2 x - y = 5$

Notice that if you add these two equations together, the positive and negative y's will cancel out. Adding them gives us:
$3 x = 3$
$x = 1$

Now that we know x = 1, we can plug that into either of the original equations to solve for y.
$\left(1\right) + y = - 2$

Subtract 1 from both sides to get:
$y = - 3$

This means that these lines intersect at the point (1, -3).