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

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} (5x)/(5)=-(12)/(5) \\ \\ x=-2.4 \end{gathered}`

Thus, Annie is not correct.

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