Question

Solve for q. 10 2q + 8 10 9 = Stuck? Watch a video or use a hint.

Answer 1

q = -7/2 or 3.5

1) Let's manipulate it algebraically so that we can solve for q.

Cross multiply it:

$\begin{gathered} \frac{10}{2q+8}=10 \\ \\ 10(2q+8)\text{ = 10} \\ 20q\text{ +80= 10} \\ 20q\text{ =10 -80} \\ 20q=\text{ -70} \\ \frac{20q}{20}=\frac{-70}{20} \\ q=-\frac{7}{2}\text{ or -3.5} \end{gathered}$

Then distribute the factors, and then subtract 80 from both sides and finally dividing both sides by 20 we have q= 7/2 or 3.5

2) Hence, q is equal to -7/2 or -3.5