Question

Nia solved the equation -1.98 = 5.2v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?

Answer 1

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

$-1.98=5.2v+13.1$

subtract 13.1 on both sides.

$-15.08=5.2v$

divide by 5.2 to isolate v

$\frac{-15.08}{5.2} = \frac{5.2v}{5.2}$

$-2.9=v$

substitute for v

$-1.98=5.2(-2.9)+13.1$

$-1.98=-15.08+13.1$

$-1.98=-1.98$