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

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Solution

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

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