Use an augmented matrix to find the solution of the system of equations.

$\displaystyle {\left\lbrace\begin{array}{ccccccc} {x}&+&{2}{y}&+&{4}{z}&=&-{3}\\-{5}{x}&+&{y}&+&{3}{z}&=&{23}\\{x}&+&{4}{y}&-&{4}{z}&=&{35}\end{array}\right.}$

$\displaystyle {x}=$
$\displaystyle {y}=$
$\displaystyle {z}=$