multiply equation A by 6 and equation B by 4
A: 60x - 24y = 120
B: 32x + 24y = 56
-------------------------- (A + B) --- add these two equations
92x = 176
x = 176/92
x = 44/23
substitute x = 44/23 into equation B
8(44/23) + 6y = 14
352 / 23 + 6y = 14
6y = 14 - 352/23
6y = -30/23
y = -5/23
answer
x = 44/23 and y = -5/23