Q50 of 54 Page 77

and ax + by = a2 + b2. Solve for x and y.


xb – ay = ab × 0


xb – ay = 0 ……(1)


ax + by = a2 + b2……(2)


Eliminate (1) and (2)


(xb – ay = 0) × a


(ax + by = a2 + b2) × b



– a2y – b2y = – a2b + b3


– y (a2 + b2) = – b (a2 + b2)


y = b


Put y = b in (1)


xb – ab = 0


xb = ab


x = a


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