Solve equations by using Matrix Inverse Method.

Question

Answer in the book and my answer is different.Can any one help me which one is correct.

           Solve the following system of equations by using Matrix Inverse Method.
           3x+ 4y+ 7z= 14
           2x-y+ 3z= 4
           2x + 2y - 3z = 0

Answer form the book

My Answer

Answer 1

The answer from the book is not consistent with the proble. The lower left entry of the matrix should be $2$, not $1$. So, it is normal that whoever wrote it got a different answer.

Answer 2

The best method to check is to plug in the solution in the original system and verify whether or not it work. If not check that $AA^{-1}=I$.