Question

Solve the following equation :

$3a-\frac{1}{5}=\frac{1}{5}+5\frac{2}{5}$

Answer 1

$3a-\frac{1}{5}=\frac{1}{5}+5\frac{2}{5}\Rightarrow 3a-\frac{a}{5}=5\frac{2}{5}+\frac{1}{5}\Rightarrow 3a-\frac{a}{5}=\frac{27}{5}+\frac{1}{5}\Rightarrow 3a\times 5-\frac{a}{5}\times 5=\frac{27}{5}\times 5+\frac{1}{5}\times 5\text{Multiplying each term by 5}\Rightarrow 15a-a=27+1\Rightarrow 14a=28\Rightarrow a=\frac{28}{14}\Rightarrow a=2$