Question

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?

Answer 1

Answer:

A = -81

B = 4/9

Step-by-step explanation:

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

Expand brackets:

      $\dfrac23(12-Ax)-4 = 9(6 x + B)$

$\implies 4-\dfrac23Ax = 54x+9B$

Equate coefficients of x:

$\implies -\dfrac23A=54$

$\implies A=-81$

Equate constants:

$\implies 4=9B$

$\implies B=\dfrac49$