Question

Solve the following equation and also verify your solution:
\[\frac{5x}{3} + \frac{2}{5} = 1\]

Answer 1

\[\frac{5x}{3} + \frac{2}{5} = 1\]
\[ \Rightarrow \frac{5x}{3} = 1 - \frac{2}{5}\]
\[ \Rightarrow \frac{5x}{3} = \frac{3}{5}\]
\[ \Rightarrow x = \frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{5}{3} \times \frac{9}{25} + \frac{2}{5} = \frac{3}{5} + \frac{2}{5} = 1\]
\[R . H . S . = 1\]
\[ \therefore L . H . S . = R . H . S .\text{ for }x = \frac{9}{25}\]