Question

Find the values of x and y which satisfies the equations a(x+y)=b(x-y)=2ab​

Answer 1

let a=(x-y)

and b=(x+y)

2(x-y)(x+y)=2(

$2( {x {}^{2} }^{} + xy - xy - y {}^{2} )$

$2(x {}^{2} - y {}^{2} )$

$(x - y) {}^{2} = 2$

$(x - y) = \sqrt{2}$