# Non - Linear Equations

Algebra Level 5

$\begin{cases} x - \sqrt{yz} = 42\\ y - \sqrt{zx} = 6\\ z - \sqrt{xy} = -30\end{cases}$

The real ordered triple $$(x,y,z)$$ satisfies the system of equations above. Find the value of $$x+y+z$$.

The problem is not mine. Credits to the owner.

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