Himpunan penyelesaian dari persamaan: x-y+z=3, 2x+y-3z=-5, dan 3x+2y+z=16 adalah

[tex]\left|\begin{array}{ccc}1&-1&1\\2&1&-3\\3&2&1\end{array}\right| =19 \\\\\\ x = \left|\begin{array}{ccc}3&-1&1\\-5&1&-3\\16&2&1\end{array}\right| = \frac{38}{19} =2\\\\\\ y= \left|\begin{array}{ccc}1&3&1\\2&-5&-3\\3&16&1\end{array}\right| =\frac{57}{19} =3\\\\\\ z=\left|\begin{array}{ccc}1&-1&3\\2&1&-5\\3&2&16\end{array}\right| =\frac{76}{19} =4\\\\\\[/tex]