Question

Solve the system by the addition method
4x=3y-8
-16x+4y=32

Answer 1

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)