Question

$\frac{(x + y)}{(x - y)} - \frac{(x - y)}{(x + y)} = \frac{5}{6}$
Please Solve it yaaro​

Answer 1

Answer:

$\frac{\left(x+y\right)}{\left(x-y\right)}-\frac{\left(x-y\right)}{\left(x+y\right)}=\frac{5}{6}\\\\= \frac{x+y}{x-y}-\frac{x-y}{x+y}=\frac{5}{6}\\\\= \frac{x+y}{x-y}\cdot \:6\left(x-y\right)\left(x+y\right)-\frac{x-y}{x+y}\cdot \:6\left(x-y\right)\left(x+y\right)=\frac{5}{6}\cdot \:6\left(x-y\right)\left(x+y\right)\\\\= 6\left(x+y\right)^2-6\left(x-y\right)^2=5\left(x-y\right)\left(x+y\right)\\\\= x=5y,\:x=-\frac{y}{5}$

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