Solve the System Using the Inverse That Is Given for the Coefficient

Multiple Choice

Solve the system using the inverse that is given for the coefficient matrix.
- $x + 2 y + 3 z = 2$ $x + y + z = 1$ $- x + y + 2 z = - 1$$\quad$ The inverse of $\left[ \begin{array} { r r r } 1 & 2 & 3 \\ 1 & 1 & 1 \\ - 1 & 1 & 2 \end{array} \right]$ is $\left[ \begin{array} { r r r } 1 & - 1 & - 1 \\ - 3 & 5 & 2 \\ 2 & - 3 & - 1 \end{array} \right]$

A) $\{ ( 2 , - 3,2 ) \}$
B) $\{ ( - 3,6,1 ) \}$
C) $\{ ( 2,4,2 ) \}$
D) $\{ ( 2,9,6 ) \}$