Question

Solve the system of equations x/a+y/b=a+b , x/a2+y/b2=2​

Answer 1

x/a + y/b= a+b

=>xb+ya=a^2b+ab^2----------(1)

x/a^2 +y/b^2 =2

xb^2+ya^2=2a^2b^2------------(2)

(1)xb=xb^2+yab=a^2b^2+ab^3

(2)x1=xb^2+ya^2=2a^2b^2

substrate (2)from(1)

we get....

=>yab-ya^2=ab^3-a^2b^2

=>ya(b-a) =ab^2(b-a)

=>y=b^2

puting this in equation (2)we get

=>x=a^2

I think this will help you