Question

determine the number of solutions for the given equation. 4(5g - 4) - 13g = 7g - 12 a. infinite solutions b. one solution c. no solution

Explanation:

Step1: Expand the left - hand side

$4(5g - 4)-13g=20g-16 - 13g = 7g-16$

Step2: Set up the equation

The original equation $4(5g - 4)-13g = 7g-12$ becomes $7g-16=7g - 12$.

Step3: Subtract \(7g\) from both sides

$(7g-7g)-16=(7g - 7g)-12$, which simplifies to $-16=-12$. This is a false statement.

Answer:

C. No solution