4x - 5y = 32
8x + 5y = 4
4x = 5y + 32 | : 4
8x + 5y = 4
x = 5/4y + 8
8(5/4y + 8) + 5y = 4
x = 5/4y + 8
10y + 64 + 5y = 4
x = 5/4y + 8
15y = -60 | : 15
x = 5/4y + 8
y = -4
x = 5/4 * (-4) + 8
y = -4
x = 3
y = -4
Testing:
4(3)-5(-4) = 32 | 12+20 = 32 : True
8(3)+5(-4) = 4 | 24-20 = 4 : True
Answer:
x = 3
y = -4