# Simple System of Equations Part 2

Number Theory Level 5

$\begin{eqnarray} xy+z&=&26 \\ xz+y&=& 29 \\ yz+x&=&34 \end{eqnarray}$

If $$x,y,z$$ are integers satisfying the system of equations above, what is the value of $$x+y+z$$?

See Part 1 and Part 3.

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