Solve:
$\frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15}$

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Solution

Given $\frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15}$
$⟹ \frac{2}{5} - \frac{5}{3} = \frac{x}{15}$
$⟹ \frac{6 - 25}{15} = \frac{x}{15}$
$⟹ \frac{- 19}{15} = \frac{x}{15}$
$⟹ x = - 19$

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\frac{3 x - 2}{3 y + 7} = \frac{5 x - 1}{5 y + 16}; \frac{3 x - 15}{x - 9} = \frac{6 y - 5}{2 y + 3}

3 x + 5 y = 15

5 x + 2 y = 5

\frac{2}{5} (x - 1) = 1 - \frac{3}{5} (3 x - 5)

5 (4 x + 1) - 2 - (5 x + 3) = 15

\frac{3 x}{5 x - 5} = - 1

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