Question

solve for x (with detailed steps)

$\frac{10}{x + y} \: + \: \frac{2}{x - y} = 4 \\ \\ \frac{15}{x + y} - \frac{5}{x - y} = - 2$
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Answer 1

x= 15/14
y=5/7

Solving eq (1) we get
12x-8y=4(x^2-y^2)
Solving eq (2) we get
10x-20y=-2(x^2-y^2)
Now substituting the value of (x^2-y^2) from eq (1) in eq (2) we get
x=3/2y
Now putting this value of x in eq (1) we get y=5/7
Now x =3/2.5/7
=15/14