Solve the system by the addition method

4x=3y-8

-16x+4y=32

4x = 3y - 8

4 4

x = ³/₄y - 2

-16x + 4y = 32

-16 (³/₄y - 2) + 4y = 32

-16 (³/₄y) + 16 (2) + 4y = 32

-12y + 32 + 4y = 32

-12y + 4y + 32 = 32

-8y + 32 = 32

- 32 - 32

-8y = 0

-8 - 8

y = 0

x = ³/₄y - 2

x = ³/₄ (0) - 2

x = 0 - 2

x = - 2

(x, y) = (-2, 0)