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.
- $x + 2 y + 3 z = - 3$ $x + y + z = 12$ $2 x + 2 y + z = 6$$\quad$ The inverse of $\left[ \begin{array} { l l l } 1 & 2 & 3 \\ 1 & 1 & 1 \\ 2 & 2 & 1 \end{array} \right]$ is $\left[ \begin{array} { r r r } - 1 & 4 & - 1 \\ 1 & - 5 & 2 \\ 0 & 2 & - 1 \end{array} \right]$

A) $\{ ( 45 , - 51,18 ) \}$
B) $\{ ( 15 , - 60,15 ) \}$
C) $\{ ( - 12 , - 24,6 ) \}$
D) $\{ ( 51,69,30 ) \}$