Question

Select the correct choice below and fill in any answer boxes in your choice.

Answer 1

{-15}

1) Let's solve this expression:

`\begin{gathered} (x)/(x+5)=(3)/(2)\text{ x2} \\ (2x)/(x+5)=3\text{ x(x+5)} \\ 2x=3(x+5) \\ 2x=3x+15 \\ 2x-3x=15 \\ -x=15 \\ x=-15 \end{gathered}`

Note that we multiplied by 2 and then by (x+5) so that we could get rid of the denominators.

2) Examining the options, we can state that:

The solution set is S={-15}

Since there's one solution for that.