# cocassi function algebra 2

Algebra Level 4

$$x, y, z$$ are non-zero real numbers such that:

x+y=4xy
y+z=6yz
z+x=8zx

If $$x+y+z = \frac{a}{b}$$ where $$a, b$$ are positive coprime integers, what is $$a + b$$?

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