Question
Solve for $x$ and $y :\frac{2}{x}+\frac{3}{y}=13 \text { and } \frac{5}{x}-\frac{4}{y}=-2$

Answer

$\frac{2}{x}+\frac{3}{y}=13 \text { and } \frac{5}{x}-\frac{4}{y}=-2$
$\text { Let } \frac{1}{x}= a \text { and } \frac{1}{y}= b$
$\Rightarrow 2 a +3 b=13$ and $\times 4$
$5 a -4 y =-2\times 3$
Now $(1) +(2)$,
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