Solve the system using determinants.
-$$\begin{array} { l }
x - y + 4 z = - 5 \
5 x + z = 0 \
- x + y - 4 z = 15
\end{array}$$
A)(4, 5, 0)
B)(0, 0, 5)
C)infinite number of solutions
D)no solution

Question

Solve the system using determinants.
-$$\begin{array} { l } 
x - y + 4 z = - 5 \
5 x + z = 0 \
- x + y - 4 z = 15
\end{array}$$
A)(4, 5, 0)
B)(0, 0, 5)
C)infinite number of solutions
D)no solution

Quizplus · Accepted Answer

The determinant of the coefficient matrix is zero, indicating that the system is either inconsistent or has infinitely many solutions. However, the equations are inconsistent, leading to no solution.

Solve the System Using Determinants x−y+4z=−55x+z=0−x+y−4z=15\begin{array} { l } x - y + 4 z = - 5 \\5 x + z = 0 \\- x + y - 4 z = 15\end{array}x−y+4z=−55x+z=0−x+y−4z=15​

Solve the System Using Determinants $\begin{array} { l } x - y + 4 z = - 5 \\5 x + z = 0 \\- x + y - 4 z = 15\end{array}$