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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