Solve Using Cramer's Rule, If Possible $$\left\{ \begin{array} { c } 4 x + 7 y - z = 61 \\x - 3 y - 8 z = - 21 \\- 9 x + y + z = - 38\end{array} \right.$$

Multiple Choice

Solve using Cramer's rule, if possible. If it is not possible, state whether the system is inconsistent or has infinitely many
solutions.
- $$\left\{ \begin{array} { c } 4 x + 7 y - z = 61 \\x - 3 y - 8 z = - 21 \\- 9 x + y + z = - 38\end{array} \right.$$

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