How do you solve the system of linear equations #x+y=-2# and #2x-y=5#?
Elimination will work best and will yield: x = 1 , y = -3
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).