# The 3 variable square and product

Algebra Level 3

$\large { \begin{cases} {x^2-yz=37 } \\ {y^2- xz = 1 } \\ {z^2-xy=-35 } \end{cases} }$

If $$x,y$$ and $$z$$ are positive numbers that satisfy the system of equations above, find the value of $$10000x + 100y + z$$.

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