Solve the system using Gauss-Jordan elimination

Seems like you're not interested in checking or sharing your answer. It's good forum etiquette to finish threads (for the benefit of other students), so I will post my answer.

Gauss-Jordan Elimination put the augmented coefficient matrix into RREF form:

Code: 
1   0   0   2
0   1   0  -3
0   0   1   3
That augmented result corresponds to the system:

x = 2
y = -3
z = 3

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