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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