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.
-$$\begin{aligned}
3 x - 7 y - z & = - 28 \
x - 9 y + 9 z & = - 28 \
3 x + y + z & = 34
\end{aligned}$$
A) $\{ ( - 8,7,16 ) \}$
B) $\varnothing$
C) $\{ ( 8,7,3 ) \}$
D) $\{ ( 8,3,7 ) \}$

Question

Quizplus · Accepted Answer

The Gauss-Jordan method reduces the system to row-echelon form, leading to the solution $x = 8$, $y = 7$, $z = 3$.

Use the Gauss-Jordan Method to Solve the System of Equations 3x−7y−z=−28x−9y+9z=−283x+y+z=34\begin{aligned}3 x - 7 y - z & = - 28 \\x - 9 y + 9 z & = - 28 \\3 x + y + z & = 34\end{aligned}3x−7y−zx−9y+9z3x+y+z​=−28=−28=34​

Use the Gauss-Jordan Method to Solve the System of Equations $\begin{aligned}3 x - 7 y - z & = - 28 \\x - 9 y + 9 z & = - 28 \\3 x + y + z & = 34\end{aligned}$