solve using elimination
-2x+2y=6
4x+2y=-5
Multiply the first equation by 2 and solve for y...
-4x + 4y = 12
4x + 2y = -5
6y = 7
y = 7/6
Substitute the y value into one of the original equations and solve for x...
-2x + 2(7/6) = 6
-2x + 14/6 = 36/6
-2x = 22/6
x = -11/6
SOLUTION: {-11/6, 7/6}