We have, 3 x+y + 2 x y =2 3( x y ) +2( x+y ) #160; ( x+y ) ( x y ) #160; =2 3x 3y+2x+2y x^ 2 xy+xy y^ 2 =2 5x y x^ 2 y^ 2 ...

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Simplification of an Expression

Solve 3x+y+2...

Question

Solve
$\frac{3}{x + y} + \frac{2}{x - y} = 2$

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Solution

We have,
$\frac{3}{x + y} + \frac{2}{x - y} = 2$
$\frac{3 (x - y) + 2 (x + y)}{(x + y) (x - y)} = 2$
$\frac{3 x - 3 y + 2 x + 2 y}{x^{2} - x y + x y - y^{2}} = 2$
$\frac{5 x - y}{x^{2} - y^{2}} = 2$
$5 x - y = 2 x^{2} - 2 y^{2} 2 x^{2} - 2 y^{2} + y - 5 x = 0$

Hence, this is the answer.

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