Question

x/a + y/b =2 , ax_by = a^2- b^2 find x and y​

Answer 1

Answer:

Given equations are

ax+by=2;ax−by=a2−b2

ax+by=2

⇒ay+bx=2ab _________ (1)

ax−by=a2−b2 _______ (2)

From (1) & (2)

Multiply (1) by 'a' (2) by 'b'

abx+a2y=2a2b

abx−b2y=ba2−b3

-         +          -

________________________________

y(a2+b2)=2a2−ba2+b3

⇒y(a2+b2)=a2b+b3

⇒y=b [put in equation - 1]

We get

ay+bx=2ab

⇒a(b)+bx=2ab

⇒bx=2ab−ab

⇒