Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l } 3 x + 3 y + z = 22 \\4 x - 4 y - z = 2 \\5 x + y + 3 z = 18\end{array}$$

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l } 3 x + 3 y + z = 22 \\4 x - 4 y - z = 2 \\5 x + y + 3 z = 18\end{array}$$

A) $\{ ( 4 , - 2,4 ) \}$
B) $\{ ( - 2,4,4 ) \}$
C) $\{ ( 4,4 , - 2 ) \}$
D) Cramer's rule does not apply since $\mathrm { D } = 0$ ;