# Same Coefficients

Algebra Level 3

Solve the following system for distinct $$x$$, $$y$$, and $$z$$.

$\begin{cases} 5732x+2134y+2134z = 7866 \\ 2134x+5732y+2134z= 670 \\ 2134x+2134y+5732z= 11464 \end{cases}$

What is $$x+y+z=$$ ?

×