Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l l } x - y & + 4 z = 3 \\3 x & + z = 0 \\x + 5 y & + z = - 15\end{array}$$

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l l } x - y & + 4 z = 3 \\3 x & + z = 0 \\x + 5 y & + z = - 15\end{array}$$

A) Cramer's rule does not apply since $\mathrm { D } = 0$ ; $\varnothing$
B) $\{ ( 0,0 , - 3 ) \}$
C) $\{ ( 0 , - 3,3 ) \}$
D) $\{ ( 0 , - 3,0 ) \}$

Correct Answer:

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