# Do I need to plot this?

Algebra Level 4

$\begin{cases}{x+y=\sqrt{4z-1}} \\ {y+z=\sqrt{4x-1}} \\ {z+x=\sqrt{4y-1}}\end{cases}$

Find the sum of all values of $$x+y+z$$ such that $$x,y,z$$ satisfy the system of equations above.

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