Question

Y = 4x - 6

2x - 3y = 8

If this problem is to be solved by substitution, which is a correct step?
A) 2x - 12x + 18 = 8
B) 2x - 12x - 18 = 8
C) 2x - 4x + 6 = 8
D) 2x + 12x + 18 = 8

Answer 1

A

Explanation:

Given the 2 equations

y = 4x - 6 → (1)

2x - 3y = 8 → (2)

Substitute y = 4x - 6 into (2)

2x - 3(4x - 6) = 8 ← distribute and simplify left side

2x - 12x + 18 = 8 → A