Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.
$\begin{array} { l }
2 x - 2 y + 3 z = - 3 \
x + 2 y - z = 9 \
2 y + z = - 1
\end{array}$
A) $\{ ( 4,1 , - 3 ) \}$
B) $\varnothing$

C) $\{ ( 6,8 , - 7 ) \}$
D) $\{ ( - 4,1,13 ) \}$

Question

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.
$\begin{array} { l } 
2 x - 2 y + 3 z = - 3 \
x + 2 y - z = 9 \
2 y + z = - 1
\end{array}$
A) $\{ ( 4,1 , - 3 ) \}$
B) $\varnothing$

C) $\{ ( 6,8 , - 7 ) \}$
D) $\{ ( - 4,1,13 ) \}$

Quizplus · Accepted Answer

Solving the system using the Gauss-Jordan method, we find that the solution is unique, which corresponds to the set containing the single ordered triple (4,1,-3).

Use the Gauss-Jordan Method to Solve the System of Equations 2x−2y+3z=−3x+2y−z=92y+z=−1\begin{array} { l } 2 x - 2 y + 3 z = - 3 \\x + 2 y - z = 9 \\2 y + z = - 1\end{array}2x−2y+3z=−3x+2y−z=92y+z=−1​

Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } 2 x - 2 y + 3 z = - 3 \\x + 2 y - z = 9 \\2 y + z = - 1\end{array}$