Question

Question 2
If ax + by = a2 - b2 and bx + ay = 0, find the
value of (x + y). (2013)​

Answer 1

Answer:

Given ax+by=a^2-b^2 ; bx+ay=0

then x+y=?

Adding given equations

ax+by+bx+ay=a^2-b^2

(a+b)x+(a+b)y=a^2-b^2

(a+b)(x+y)=a^2-b^2

(a+b)(x+y)=(a+b)(a-b)

x+y=a-b

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