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

Multiple Choice

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

A) {(1,-5,-1) }
B) Cramer's rule does not apply since $\mathrm { D } = 0 ; \varnothing$
C) {(-1,1,-5) }
D) {(1,-1,-5) }