Use Gauss-Jordan Elimination to Solve the Linear System and Determine $$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array}$$

question 122

Multiple Choice

Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a unique solution, no solution, or infinitely many solutions. If the system has infinitely many solutions, describe the solution as an ordered
triple involving variable z.
- $$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array}$$

• A) \(( 8 , - 3,2 )\)
• B) \(( - 3 z + 14,2 z - 7 , z )\)
• C) \(( 4,1,2 )\)
• D) \(\left( - \frac { 3 } { 2 } z + 7 , \frac { 1 } { 2 } z , z \right)\)

---

Definitions:

Public Schools

Educational institutions that are funded and run by the government, providing free education to students from the local community.

Valuing Process

Valuing Process involves recognizing and considering the importance, worth, or usefulness of something or someone in decision-making, often requiring assessment or judgment of intrinsic or extrinsic qualities.

Active Listener

Someone who pays close attention to the speaker, engages in the conversation, and responds thoughtfully, demonstrating comprehension and interest.

Current Media

The contemporary means of communication that are widely used for disseminating or receiving information, such as the internet, television, and newspapers.