Question

How many solutions does the equation have?11x – 6 = 8 (2x + 3)A. Only 1 solution B. No solutions C. Infinitely many solutions

Answer 1

In order to solve this equation, we can do the following steps:

$\begin{gathered} 11x-6=8(2x+3)\\ \\ 11x-6=16x+24\\ \\ 11x-16x=24+6\\ \\ -5x=30\\ \\ x=\frac{30}{-5}=-6 \end{gathered}$

The only solution is x = -6, therefore the correct option is A.