Question

If √ax -√by = b - a and √bx - √ay = 0 , find value of x + y​

Answer 1

Refer to above attachment

$\huge\fbox\red{A}\huge\fbox\pink{N}\fbox\green{S}\huge\fbox\blue{W}\fbox\orange{E}\huge\fbox\red{R}$

Given:-

$ax + by = a {}^{2} + b {}^{2} \: and \\ \: bx + ay = 0$

To find:-

$the \: value \: of \: (x + y)$

Explanation:-

$we \: have \: equation$

ax+by=a²-b²--------------(1)

bx+ay=0-------------------(2)

Using substitution method:

From equation (2)we get

$\rightarrow$bx+ay=0

$\rightarrow$bx=-ay

$\rightarrow$x=$\frac{-ay}{b}$-------(3)