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

question 294

Multiple Choice

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) \(\{ ( 8,3,7 ) \}\)

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