Question

Select all of the equations below that are equivalent to p + q = -48

Answer 1

We want to find the equivalents from the options to the following equation

`p+q=-48`

If we divide both sides by - 3, we're going to have

`\begin{gathered} (p+q)/(-3)=-(48)/(-3) \\ (p+q)/(-3)=16 \end{gathered}`

Since this result is different from the first option, the first option is not equivalent to the initial equaiton.

Doing the same for the others, dividing by - 2 we have

`\begin{gathered} (p+q)/(-2)=-(48)/(-2) \\ (p+q)/(-2)=24 \end{gathered}`

dividing by - 12 we have

`\begin{gathered} (p+q)/(-12)=-(48)/(-12) \\ (p+q)/(-12)=4 \end{gathered}`

dividing by 8 we have

`\begin{gathered} (p+q)/(8)=-(48)/(8) \\ (p+q)/(8)=-6 \end{gathered}`

The only equivalent expression through the options is

`(p+q)/(8)=-6`