SOLUTION: Given that {{{ 2/x + 1/2y = 1/z }}}, find a simplified expression for z

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Question 1199521: Given that +2%2Fx+%2B+1%2F2y+=+1%2Fz+, find a simplified expression for z
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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Given  2%2Fx + 1%2F2y = 1%2Fz  implies


     %282%2A%282y%29%29%2F%282xy%29 + x%2F%282xy%29 = 1%2Fz,

     %284y%2Bx%29%2F%282xy%29 = 1%2Fz,

     z = %282xy%29%2F%28x%2B4y%29.      ANSWER