Question

solve xy/x+y=1/2 and xy/x-y=1/6

Answer 1

xy/(x+y) = 1/2
=> xy = 1/2(x+y)
=> xy = 1/2x + 1/2 y ____(1)

xy/(x-y) = 1/6
=> xy = 1/6(x - y)
=> xy = 1/6x - 1/6y ______(2)

(1) = (2)
1/2x + 1/2 y = 1/6x - 1/6y
=> x(1/2 - 1/6) = -y(1/2 + 1/6)
=> x(2/6)= -y(4/6)
=> 2x = -4y
=> x = -2y


-2y×y/(-2y+y) = 1/2
=> -2y²-12y = 0
=> -2y(y+6) = 0
=> y = -6

x = -2(-6) = 12

Answer 2

hope it help you..!!

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