Question

Select the equations below that are equivalent to -6 = -20 - v

Answer 1

Given

$-6=-20-v$

- For -72 = 9(-20 - v):

$\begin{gathered} -\frac{72}{9}=\frac{9(-20-v)}{9} \\ -8=-20-v \end{gathered}$

The equation is not equivalent

- For -90 = 15(-20 - v):

$\begin{gathered} \frac{-90}{15}=\frac{15(-20-v)}{15} \\ -6=-20-v \end{gathered}$

The equation is equivalent

- For 5 * -6 = -100 - 5v:

Common factor 5

$\begin{gathered} -30=5(-20-v) \\ \frac{-30}{5}=\frac{5(-20-v)}{5} \\ -6=-20-v \end{gathered}$

The equation is equivalent

- For 3 * -6 = -60 - 3v:

Common factor 3

$\begin{gathered} -18=3(-20-v) \\ \frac{-18}{3}=\frac{3(-20-v)}{3} \\ -6=-20-v \end{gathered}$

The equation is equivalent

Answer:

-90 = 15(-20 - v)

5 * -6 = -100 - 5v

3 * -6 = -60 - 3v