Consider the equation 2/3(12 – Ax) – 4 = 9(6 x + B). What values for A and B will result in an equation that has infinite solutions?

Question

asked Jan 11, 2023 211k views

1 Answer

Kukkuz · Answer 1 · 2023-01-16T14:13:38+0000

Answer:

A = -81

B = 4/9

Explanation:

An equation that has infinite solutions suggests that the left side equals the right side.

Expand brackets:

$\frac23(12-Ax)-4 = 9(6 x + B)$

$\implies 4-\frac23Ax = 54x+9B$

Equate coefficients of x:

$\implies -\frac23A=54$

$\implies A=-81$

Equate constants:

$\implies 4=9B$

$\implies B=\frac49$