Augmented matrix
⎝⎛132221−31−511111⎠⎞
R2=R2−3R1
⎝⎛1022−41−310−511−3211⎠⎞
R3=R3−2R1
⎝⎛1002−4−3−310111−32−11⎠⎞
R2=−R2/4
⎝⎛10021−3−3−5/21118−11⎠⎞
R1=R1−2R2
⎝⎛10001−32−5/21−58−11⎠⎞
R3=R3+3R2
⎝⎛1000102−5/2−13/2−5813⎠⎞
R3=−(2/13)R3
⎝⎛1000102−5/21−58−2⎠⎞
R1=R1−2R3
⎝⎛1000100−5/21−18−2⎠⎞
R2=R2+(5/2)R3
⎝⎛100010001−13−2⎠⎞ Then
x=−1,y=3,z=−2
(−1,3,−2)
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