Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l } x - y + z = 5 \\x + y + z = 7 \\x + y - z = 3\end{array}$$

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l } x - y + z = 5 \\x + y + z = 7 \\x + y - z = 3\end{array}$$

A) $\{ ( 4,2,1 ) \}$
B) $\{ ( 2,4,1 ) \}$
C) Cramer's rule does not apply since $\mathrm { D } = 0$ ; $\varnothing$
D) $\{ ( 4,1,2 ) \}$