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The system of equations \[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\]has exactly one solution. What is $z$ in this solution?

 Jul 15, 2020
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The solution is (x,y,z) = (4/5,-4,-4/3).

 Jul 19, 2020

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