2x + 3y = -5 --- (1)
3x + 4y = -8 --- (2)
From (2), we have:
4y = -3x - 8
y = (-3/4)x - 2 --- (3)
Substituting (3) into (1), we have:
2x + 3((-3/4)x - 2) = -5
2x - (9/4)x - 6 = -5
(-1/4)x = 6 - 5
(-1/4)x = 1
x = 1 * (-1/4)
x = -4
Substituting x = -4 into (3), we have:
y = (-3/4)(-4) - 2
y = 3 - 2
y = 1
Hence, x = -4 and y = 1.