Question

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

Answer 1

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`
`2x-y=5`

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

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

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

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