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.

Respuesta :

Solution:

The equation Annie solved was;

[tex]7x+16=2(x+2)[/tex]

Then, we have;

[tex]7x+16=2x+4[/tex]

Collect like terms;

[tex]\begin{gathered} 7x-2x=4-16 \\ 5x=-12 \end{gathered}[/tex]

Divide both sides by 5;

[tex]\begin{gathered} \frac{5x}{5}=-\frac{12}{5} \\ \\ x=-2.4 \end{gathered}[/tex]

Thus, Annie is not correct.

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