The given system in the matrix format will be as follows

AX = B

To find the inverse of the coefficient matrix A=,we carry out Row operations as follows

R₂→R₂ -3R₁ and R₃→R₃-9R₁

Next R₃→R₃-8R₂

Next R₂→R₂-R₃ and R_1→R₁-R₃

Next R₃→ (R₃-R_{2 )}

Next R₁→R₁ +2R₃

Since we had AX = B, A^-1AX= A^-1B, Hence X= A^-1B = =

This will give x=0, y=-2 and z=-1