-4x-2y = -12 ---------> (1)
4x+8y = -24 ----------> (2)
Eliminate the varible by adding the equations (1) and (2)
-4x-2y = -12
4x+8y = -24
____________
6y = -36
Divide by 6 to each side.
6y/6 = -36/6
y = -6
Substitute the y value in (1)
-4x-2*-6 = -12
-4x+12 = -12
Subtract 12 from each side.
-4x+12-12 = -12-12
-4x = -24
Divide by negitive 4 to each side.
-4x/-4 = -24/-4
x = 6
Solution of given system x = 6, y =-6