Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { l }
4 x + 3 y + z = 29 \
3 x - 2 y - z = 4 \
4 x + y + 3 z = 15
\end{array}$$
A) Cramer's rule does not apply since $D = 0 ; \varnothing$
B) $\{ ( 4,5 , - 2 ) \}$
C) $\{ ( - 2,5,4 ) \}$
D) $\{ ( 4 , - 2,5 ) \}$

Question

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
-$$\begin{array} { l } 
4 x + 3 y + z = 29 \
3 x - 2 y - z = 4 \
4 x + y + 3 z = 15
\end{array}$$
A) Cramer's rule does not apply since $D = 0 ; \varnothing$
B) $\{ ( 4,5 , - 2 ) \}$
C) $\{ ( - 2,5,4 ) \}$
D) $\{ ( 4 , - 2,5 ) \}$

Quizplus · Accepted Answer

Cramer's rule applies when the determinant $D$ of the coefficient matrix is non-zero. In this case, $D$ is not explicitly given as 0, and the correct solution set can be found using Cramer's rule or by directly solving the system, leading to the solution $(4, 5, -2)$.

Use Cramer's Rule to Solve the System of Equations 4x+3y+z=293x−2y−z=44x+y+3z=15\begin{array} { l } 4 x + 3 y + z = 29 \\3 x - 2 y - z = 4 \\4 x + y + 3 z = 15\end{array}4x+3y+z=293x−2y−z=44x+y+3z=15​

Use Cramer's Rule to Solve the System of Equations $\begin{array} { l } 4 x + 3 y + z = 29 \\3 x - 2 y - z = 4 \\4 x + y + 3 z = 15\end{array}$