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?
The solution is x = 3/4, y = 1/4, z = -4.
Nice job guest, but I think showing a little work never hurt.
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