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Question

Solve the equation for x and y
(ab)x+(a+b)y=a22abb2(a+b)(x+y)=a2+b2

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Solution

(a+b)(x+y)=a2+b2(a+b)x+(a+b)y=a2+b2
subtracting equations 2bx=2abb2x=a+b
by substituting x value y=2aba+b

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