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The system of equations

\(\frac{xy}{x+y}=1, \frac{xz}{x+z}=2, \frac{yz}{y+z}=3\)
has exactly one solution. What is \(z \) in this solution?

 Jul 15, 2020
 #1
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-1

Try subsitution

 Jul 15, 2020
 #2
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0

(x,y,z) = (8/5,8/3,-8)

 Jul 15, 2020

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