Question

X/a+y/b=2;ax-by=a^{​​​​​​2}​-b^​​​2

Answer 1

Sol:
Given
x / a + y / b = 2 ---------(1) ax - by = a2- b2 -------------(2)
Equ(1) can be written as bx + ay = 2ab ---------(3)

multiply equation (2) by a and equation (3) by b and addding

a2 x + b2 x = a3 - ab2 + 2ab2 = a( a2 + b2 )

x = a .

multiply equation (2) by b and equation (3) by a and Substract

- b2y - a2y = ba2- b3 - 2 ba2

-y ( b2 + a2 ) = - b( b2 + a2)

y = b .