# Find $$x + y + z$$

Algebra Level 2

Given the system of equations below, find $$x+y+z$$.

$$\frac{4}{x} + \frac{1}{y} + \frac{1}{z} = 5$$

$$\frac{1}{x} + \frac{1}{y} - \frac{1}{z} = 4$$

$$\frac{6}{x} - \frac{1}{y} - \frac{1}{z} = 9$$

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