# coccassi function algebra

Algebra Level 3

$x + y = 5 xy \\ y + z = 6yz \\ z + x = 7 z x$

If $$xyz \neq 0$$, then the value of $$x+y+z$$ can be expressed as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are positive coprime integers. What is $$a+b$$?

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