$\begin{aligned}x+2 y-3 z &=19 \\2 x-3 y+4 z &=-17 \\3 x-y &=4\end{aligned}$

Short Answer

$\begin{aligned}x+2 y-3 z &=19 \\2 x-3 y+4 z &=-17 \\3 x-y &=4\end{aligned}$
equations as a matrix equation AX=B is $\left[\begin{array}{rrr}1 & 2 & -3 \\2 & -3 & 4 \\3 & -1 & 0\end{array}\right]\left[\begin{array}{l}y \\x \\z\end{array}\right]=\left[\begin{array}{r}19 \\-17 \\4\end{array}\right]$
-Use an inverse matrix to solve the system given in above.