Solve the system by using the Gauss-Jordan method.
$$\begin{aligned}
2 x - 3 y - 9 z & = 12 \
4 x + 5 y - 6 z & = - 14 \
- 5 x + 3 y - 9 z & = 21
\end{aligned}$$
A) $\left( - 6 , - 4 , - \frac { 4 } { 3 } \right)$
B) $\left( - 3 , - 2 , - \frac { 4 } { 3 } \right)$
C) $( - 3,7 , - 5 )$
D) No solution; inconsistent system

Question

Quizplus · Accepted Answer

Using the Gauss-Jordan method, the system of equations simplifies to a solution of $\left( - 3 , - 2 , - \frac { 4 } { 3 } \right)$.

Solve the System by Using the Gauss-Jordan Method 2x−3y−9z=124x+5y−6z=−14−5x+3y−9z=21\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}2x−3y−9z4x+5y−6z−5x+3y−9z​=12=−14=21​

Solve the System by Using the Gauss-Jordan Method $\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}$