Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array}{l}x-8 y+z=5 \\3 x-y+2 z=5\end{array}$

question 114

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.
- $\begin{array}{l}x-8 y+z=5 \\3 x-y+2 z=5\end{array}$

• A)
• \(\begin{array}{l}
• x-8 y+z=5 \\
• 3 x-y+2 z=5
• \end{array}\)
• B) \(\left\{ \left\{ \frac { 35 } { 23 } , - \frac { 10 } { 23 } , 9 \right) \right\}\)
• C) \(\varnothing\)
• D) \(\left\{ \left\{ \frac { - 35 - 15 \mathrm { z } } { 25 } , \frac { 10 + \mathrm { z } } { 25 } , \mathrm { z } \right) \right\}\)

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Definitions:

Heterotrophic

An organism that cannot synthesize its own food and is dependent on complex organic substances for nutrition.

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Pertaining to the process by which green plants, algae, and some bacteria convert light energy into chemical energy.

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