Question

Annie solved the equation 7x + 16 = 2(x + 2). She then stated that x= -2 is a solution to the equation. Is Annie correct?A. Yes, Annie is correct.B. No, Annie is not correct.

Answer 1

Solution:

The equation Annie solved was;

$7x+16=2(x+2)$

Then, we have;

$7x+16=2x+4$

Collect like terms;

$\begin{gathered} 7x-2x=4-16 \\ 5x=-12 \end{gathered}$

Divide both sides by 5;

$\begin{gathered} \frac{5x}{5}=-\frac{12}{5} \\ \\ x=-2.4 \end{gathered}$

Thus, Annie is not correct.

CORRECT OPTION: (B) No, Annie is not correct