Question

if ax+by=a2-b2 and bx+ay=0 find x+y​

Answer 1

Answer:

Step-by-step explanation:

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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