SOLUTION: If {{{1/x +1/y =10}}} and {{{x+y=2}}}, what is the value of xy?

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Question 1111870: If 1%2Fx+%2B1%2Fy+=10 and x%2By=2, what is the value of xy?
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
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If  1%2Fx+%2B1%2Fy+=10,  then   %28x%2By%29%2Fxy = 10.


Replace here (x+y) by 2, since it is given.


You will have  2%2F%28xy%29 = 10,   which implies   xy = 2%2F10 = 0.2.

Solved.

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