Question

x\a+y\b=2 , ax-by=a²+b²

Answer 1

hi friend,

→x/a+y/b=2

bx+ay=2ab

multiply with a on both sides,

abx+a²y=2a²b---------(1)

now, ax-by=a²+b²

multiply by b on both sides,we get

abx-b²y=a²b+b³-------(2)

(1)-(2) gives,

a²y+b²y=a²b-b³

y(a²+b²)=b(a²-b²)

→y=b(a²-b²)/(a²+b²)

by substituting this in x/a+y/b=2

x/a+(a²-b²)/(a²+b²)=2

→x/a=(2a²+2b²-a²+b²)/(a²+b²)

→x/a=(a²+3b²)/(a²+b²)

→x=a(a²+3b²)/(a²+b²)

I hope this will help u ;)

Answer 2

solve through elimination 1) x/a+y/b=2&ax-by=a square- b square 2)ax/b-by/a=a+b&ax-by=2ab

solve through elimination 1) x/a+y/b=2&ax-by=a square- b square 2)ax/b-by/a=a+b&ax-by=2ab