solve the following system by the elimination method

x+y=8
x+y=-5

To solve the system by the elimination method, we want to eliminate one variable by adding the two equations together.

Adding the equations:
(x + y) + (x + y) = 8 + (-5)
2x + 2y = 3

Divide both sides of the equation by 2:
2x/2 + 2y/2 = 3/2
x + y = 3/2

So the solution to the system is:
x + y = 3/2