Question

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0

Answer 1

-2x + y + 6 = 0
2x + y - 8 = 0
-------------------------add the equations together
2y - 2 = 0 add 2 to both sides
2y = 2 divide both sides by 2
y =1

Plug 1 back into either equation and solve for x.
-2x + y + 6 = 0
-2x + 1 + 6 = 0
-2x + 7 = 0 subtract 7 from both sides
-2x = -7 divide both sides by -2
x = 7/2 or x = 3.5
(3.5, 1)