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

##### 1 Answer

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:

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

Now that we know x = 1, we can plug that into either of the original equations to solve for y.

Subtract 1 from both sides to get:

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