Question

Solve each of the following equations and also verify your solution :

$\frac{5x}{3}+\frac{2}{5}=1$

Answer 1

$\frac{5x}{3}+\frac{2}{5}=1$
Substractig $\frac{2}{5}$ from both sides:
$\frac{5x}{3}+\frac{2}{5}-\frac{2}{5}=1-\frac{2}{5}\Rightarrow \frac{5x}{3}=\frac{3}{5}$
$\Rightarrow$ Multiplying $\frac{3}{5}$ both sides
$\frac{5}{3}x\times \frac{3}{5}=\frac{3}{5}\times \frac{3}{5}\Rightarrow x=\frac{9}{25}$
Verification:
$L.H.S.=\frac{5x}{3}+\frac{2}{5}=\frac{5}{3}\times \frac{9}{25}+\frac{2}{5}=\frac{3}{5}+\frac{2}{5}=\frac{3+2}{5}=\frac{5}{5}=1=R.H.S.$