# Too many variables!-2

Algebra Level pending

$\begin{cases} x+y=5xy \\ y+z=6yz \\z+x=7zx \end{cases}$

If $$x,y$$ and $$z$$ satify the above system of equations, then the value of $$x+y+z$$ can be expressed as $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. Submit your answer as the value of $$a+b.$$

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