\[ \frac{3 - 5x}{x} + \frac{3 - 5y}{y} + \frac{3 - 5z}{z} = 0 \] Or, \[ \frac{3}{x} - \frac{5x}{x} + \frac{3}{y} - \frac{5y}{y} + \frac{3}{z} - \frac{5z}{z} = 0 \] Or, \[ \frac{3}{x} - 5 + \frac{3}{y} - 5 + \frac{3}{z} - 5 = 0 \] Or, \[ \frac{3}{x} + \frac{3}{y} + \frac{3}{z} - 15 = 0 \] Or, \[ 3\left(\frac{1}{x} + \frac{1}{y} + \frac{1}{z}\right) = 15 \] Or, \[ \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 5 \] (Answer)
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