Solve the pair of equations:
$$\frac{2}{x} + \frac{3}{y} = 11, \quad \frac{5}{x} - \frac{4}{y} = -7$$
Hence, find the value of $5x - 3y$.

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Accepted Answer

Step 1: $\frac{2}{x} + \frac{3}{y} = 11$ ... (i), $\frac{5}{x} - \frac{4}{y} = -7$ ... (ii). On solving equation (i) and (ii):
Step 2: $x = 1$ & $y = \frac{1}{3}$
Step 3: $	herefore 5x - 3y = 5 - 1 = 4$

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