x - 3y = 6 --- (1)
-2x + 3y = -3 --- (2)
From (2), we have: 3y = 2x - 3 --- (3)
Substituting (3) into (1), we have:
x - (2x - 3) = 6
x - 2x + 3 = 6
-x = 6 - 3
-x = 3
x = -3
Substituting x = -3 into (3), we have:
3y = 2(-3) - 3
3y = -6 - 3
3y = -9
y = -9 / 3
y = -3
Hence, x = -3 and y = -3