Question

Solve the following equation:

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

Answer 1

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

⇒ ${\displaystyle \text{3a}-\frac{\text{a}}{5}=\frac{27}{5}+\frac{1}{5}}$

⇒ ${\displaystyle \text{3a}\times 5-\frac{\text{a}}{5}\times 5=\frac{27}{5}\times 5+\frac{1}{5}\times 5}$
.....(Multiplying each term by 5)

⇒ 15a - a = 27 + 1

⇒ 14a = 28

⇒ a = ${\displaystyle \frac{28}{14}}$

⇒ a = 2