Question:
Tick (✓) the correct answer
If $3 m=5 m-\frac{8}{5}$, then $m=?$
(a) $\frac{2}{5}$
(b) $\frac{3}{5}$
(c) $\frac{4}{5}$
(d) $\frac{1}{5}$
Solution:
(c) $\frac{4}{5}$
$3 m=5 m-\frac{8}{5}$
$\Rightarrow 3 m=\frac{25 m-8}{5}$
$\Rightarrow 15 m=25 m-8$
$\Rightarrow 15 m-25 m=-8$
$\Rightarrow-10 m=-8$
$\Rightarrow m=\frac{-8}{-10}=\frac{4}{5}$