# Solve for x, y and z

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• Feb 4th 2009, 07:26 PM
alexmahone
Solve for x, y and z
Solve the following system:
$3(x + \frac {1}{x}) = 4(y + \frac {1}{y}) = 5(z + \frac {1}{z});\ xy + yz + zx = 1$