# Solve for x, y and z

• February 4th 2009, 06:26 PM
alexmahone
Solve for x, y and z
Solve the following system:
$3(x + \frac {1}{x}) = 4(y + \frac {1}{y}) = 5(z + \frac {1}{z});\ xy + yz + zx = 1$