# VMO 2016

Algebra Level 4

$\left\{\begin{matrix} 6x-y+z^2=3 & & \\ x^2-y^2-2z=-1 & & \\ 6x^2-3y^2-y-2z^2=0 & & \end{matrix}\right.$

Given that $$x,y$$ and $$z$$ are real number, how many pair of $$(x,y,z)$$ satisfy this equation above

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