Question

Tick (✓) the correct answer:
If 3m = 5m$-\frac{8}{5}$, then m = ?
(a) $\frac{2}{5}$
(b) $\frac{3}{5}$
(c) $\frac{4}{5}$
(d) $\frac{1}{5}$

Answer 1

(c) $\frac{4}{5}$

$$\begin{gathered} 3m=5m-\frac{8}{5} \\ \Rightarrow 3m=\frac{25m-8}{5} \\ \Rightarrow 15m=25m-8 \\ \Rightarrow 15m-25m=-8 \\ \Rightarrow -10m=-8 \\ \Rightarrow m=\frac{-8}{-10}=\frac{4}{5} \end{gathered}$$