4x - 3y = 9, 2x + 3y = -18

Add the two equations: (4x - 3y) + (2x + 3y) = 9 + (-18) => 6x = -9 => x = -9/6 = -3/2.

Substitute x = -3/2 into the second equation: 2(-3/2) + 3y = -18 => -3 + 3y = -18 => 3y = -15 => y = -5.

Solution: x = -3/2, y = -5.