Solve the System of Equations by Using the Inverse of the Coefficient

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix.
- $\begin{array}{rr}x-2 y+3 z & =3 \\y-z+w & =-6 \\-2 x+2 y-2 z+4 w & =-18 \\2 y-3 z+w & =-10\end{array}$

A) $(-2,3,3,-6)$
B) $(-2,2,3,-5)$
C) $(-3,2,4,-5)$
D) $(-1,1,2,-4)$