Solve the system using Gaussian elimination or Gauss-Jordan elimination.
-$$\begin{array} { l }
- 3 x - 7 y + 7 z = 71 \
- 2 x + 7 y - 3 z = - 22 \
- 3 x - 9 y + 9 z = 87
\end{array}$$
A) $\{ ( - 5 , - 2,6 ) \}$
B){ }
C) $\{ ( 5,2,6 ) \}$
D) $\{ ( - 5,2,6 ) \}$

Question

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
-$$\begin{array} { l } 
- 3 x - 7 y + 7 z = 71 \
- 2 x + 7 y - 3 z = - 22 \
- 3 x - 9 y + 9 z = 87
\end{array}$$
A) $\{ ( - 5 , - 2,6 ) \}$
B){ }
C) $\{ ( 5,2,6 ) \}$
D) $\{ ( - 5,2,6 ) \}$

Quizplus · Accepted Answer

Using Gaussian elimination, the system reduces to a unique solution: $x = -5$, $y = -2$, $z = 6$.

Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination −3x−7y+7z=71−2x+7y−3z=−22−3x−9y+9z=87\begin{array} { l } - 3 x - 7 y + 7 z = 71 \\- 2 x + 7 y - 3 z = - 22 \\- 3 x - 9 y + 9 z = 87\end{array}−3x−7y+7z=71−2x+7y−3z=−22−3x−9y+9z=87​

Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $\begin{array} { l } - 3 x - 7 y + 7 z = 71 \\- 2 x + 7 y - 3 z = - 22 \\- 3 x - 9 y + 9 z = 87\end{array}$