Question

If ax-by=0 and x+y=a+b then find the value of x^2 + y^2.​

Answer 1

Answer:

$x^{2} + y^{2} =a^{2} +b^{2}$

Step-by-step explanation:

we know that ax-by=0 and x+y=a+b

a=$\frac{by}{x}$ (from ax-by=0)

when we substitute,

x+y=$\frac{by}{x}$+b

upon simplification,

x=b

when we substitute that in x+y=a=b,

we get y=a

Therefore, $x^{2} +y^{2} =a^{2} +b^{2}$