Solve the system using elimination.
$$\left\lbrace \begin{array}{r@{}r@{}r@{}r@{}r} 2 x & +2 y & +5 z &=& 36 \\ 3 x & +4 y & +4 z &=& 44 \\ 5 x & +3 y & - 4 z &=& 16 \end{array}\right.$$
$x =$
$y =$
$z =$