Question

SOLVE
$\frac{x + y}{xy} = 2 \\ \frac{x - y}{xy} = 6$

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Answer 1

$\frac{x + y}{xy} = 2.............(1) \\ \\ \frac{x - y}{xy} = 6.............(2) \\ we \: can \: write \: both \: equation \: as \\ \\ x + y = 2xy...........(3) \\ \\ \\ \\ and x - y = 6xy.......(4) \\ by \: eliminating \: method \\ \\ \: add \: (3) \: and(4) \\ x + y + x - y = 8xy \\ = > 2x = 8xy \\ = > \frac{2x}{8x} = y \\ = > or \: y = \frac{1}{4} \\ puting \: \: value \: \: of \: y \: in \: 3 \: we \: will \: find \: value \: of \: x$

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