Find the values of x and y 10x-y-2x-y-4- x-y 0

Take A=x+y,B=x y 10A+2B=4,15A 5B= 2 ⇒ ( 5A)+( 1B)=2 & ( 3A)+( 1B)= 25 ⇒8A=85⇒ A=5,B=1 So, x+y=5,x y=1 ⇒ x=3,y=2 ...

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Byju's Answer

Standard XII

Mathematics

Properties of Inverse Function

Find the valu...

Question

Find the values of $x$ and $y$
$\frac{10}{x + y} + \frac{2}{x - y} = 4, x + y \neq 0$

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Solution

Take $A = x + y, B = x - y$

$\frac{10}{A} + \frac{2}{B} = 4, \frac{15}{A} - \frac{5}{B} = - 2$

$\Rightarrow (\frac{5}{A}) + (\frac{1}{B}) = 2 & (\frac{3}{A}) + (\frac{- 1}{B}) = \frac{- 2}{5}$

$\Rightarrow \frac{8}{A} = \frac{8}{5} \Rightarrow A = 5, B = 1$

$S o, x + y = 5, x - y = 1$

$\Rightarrow x = 3, y = 2$

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Find the values of x and y10x+y+2x−y=4,x+y≠0

Take A=x+y,B=x−y10A+2B=4,15A−5B=−2⇒(5A)+(1B)=2&(3A)+(−1B)=−25⇒8A=85⇒A=5,B=1So,x+y=5,x−y=1⇒x=3,y=2

Find the values of $x$ and $y$
$\frac{10}{x + y} + \frac{2}{x - y} = 4, x + y \neq 0$