\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Use Gaussian elimination to solve:$$\left\{\begin{array}{rcrcrcl} x & + & y & + & z &=& 6 \\ 2x & + & y & - & z &=& 3 \\ x & + & 2y & + & 3z &=& 13\end{array}\right.$$
\(x=\)
, \(y=\)
, \(z=\)