# Solve the following system of equations by cross - multiplication method.a(x + y) + b(x – y) = a2 – ab + b2a(x + y) – b(x – y) = a2 + ab + b2

The given system of equations can be re - written as

ax + ay + bx – by – a2 + ab – b2 = 0

(a + b)x + (a – b)y (a2 – ab + b2 ) = 0 …(1)

and ax + ay – bx + by – a2 – ab – b2 = 0

(a – b)x + (a + b)y (a2 + ab + b2 ) = 0 …(2)

Now, by cross – multiplication method, we have

By cross - multiplication method, we have      On taking I and III ratio, we get  On taking II and III ratio, we get  Rate this question :

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