Solve the system using matrices.
-$$\begin{array} { l }
- 3 x - y - 2 z = - 38 \
9 x + 9 z = 117 \
2 y + z = 16
\end{array}$$
A)(-7, 5, 14)
B)(7, 6, 5)
C)(7, 5, 6)
D)inconsistent

Question

Solve the system using matrices.
-$$\begin{array} { l } 
- 3 x - y - 2 z = - 38 \
9 x + 9 z = 117 \
2 y + z = 16
\end{array}$$
A)(-7, 5, 14)
B)(7, 6, 5)
C)(7, 5, 6)
D)inconsistent

Quizplus · Accepted Answer

The system of equations can be solved using matrix methods such as Gaussian elimination or matrix inversion. Solving the system, we find that the solution is x = 7, y = 5, z = 6, which corresponds to choice C.

Solve the System Using Matrices −3x−y−2z=−389x+9z=1172y+z=16\begin{array} { l } - 3 x - y - 2 z = - 38 \\9 x + 9 z = 117 \\2 y + z = 16\end{array}−3x−y−2z=−389x+9z=1172y+z=16​

Solve the System Using Matrices $\begin{array} { l } - 3 x - y - 2 z = - 38 \\9 x + 9 z = 117 \\2 y + z = 16\end{array}$