Answer :
Set the two equations equal to each other by multiplying equation 2 by -2;
-2 * (-3x + 2y = -12)
-6x - 4y = 24
-6x - 4y = 2x - 4y
Then add to each side
-8x = 0
x = 0
Plug x back into one of the original two equations;
2 * 0 - 4y = 24
-4y = 24
y = -6
-2 * (-3x + 2y = -12)
-6x - 4y = 24
-6x - 4y = 2x - 4y
Then add to each side
-8x = 0
x = 0
Plug x back into one of the original two equations;
2 * 0 - 4y = 24
-4y = 24
y = -6