Solve for x and y where x + y = a+ b and ax+ by= a^2 + b^2

1.	Solve for x and y where x + y = a+ b and ax+ by= a^2 + b^2
Answer» x + y = a + b multiply both sides with a we getax + ay = a^2 + ab ...(1)ax + by =a^2 + b^2 ...(2)(1) - (2) givesy(a+b) = b(a+b)So y =b (a+b)/(a+b)ie. y = bSubstitute y = b in the equation x+y=a+bx+b = a+bx = a+b-b. ie x= aSo x=a and y = b

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