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

 Jul 4, 2024
 #1
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The solution is z = 2/5.

 Jul 4, 2024

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