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# What is z

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

Jun 16, 2020

#1
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The solution is x = 3/4, y = 1/4, z = -4.

Jun 16, 2020
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Nice job guest, but I think showing a little work never hurt.

Varxaax  Jun 16, 2020