Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array}{l}x+y+z=7 \\x-y+2 z=7 \\2 x+3 z=14\end{array}$$

question 57

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations.
- $$\begin{array}{l}x+y+z=7 \\x-y+2 z=7 \\2 x+3 z=14\end{array}$$

• A) \( \left(\frac{-3 z+14}{2}, \frac{z}{2}, z\right) \)
• B) \( \left(\frac{-3 z-14}{2}, \frac{z}{2}, z\right) \)
• C) \( \left(\frac{-3 z+14}{2}, 2 z, z\right) \)
• D) \( \left(\frac{3 z+14}{2}, \frac{z}{2}, z\right) \)

---

Definitions:

Direct Feedback

Information provided explicitly and straightforwardly about one's performance, behavior, or work, aimed at improvement or recognition.

New Learning

A process of acquiring knowledge or skills in new areas, often leading to personal or professional development.

Job Enrichment

A management concept focused on redesigning jobs in a way that increases the responsibilities, and opportunities for personal growth and recognition, thereby making them more fulfilling.

Adds Variety

Introduces diversity and difference, making situations, tasks, or environments more interesting and less monotonous.