Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - z = - 2 \\y + z = 10 \\x + z = 3\end{array}$$

question 93

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.
- $$\begin{array} { l } x - z = - 2 \\y + z = 10 \\x + z = 3\end{array}$$

• A) \(\left\{ \left\{ \frac { 5 } { 2 } , \frac { 11 } { 2 } , \frac { 9 } { 2 } \right) \right\}\)
• B) \(\left\{ \left( \frac { 1 } { 2 } , \frac { 15 } { 2 } , \frac { 5 } { 2 } \right) \right\}\)
• C) \(\{ ( - 2,10,0 ) \}\)
• D) \(\{ ( 1,15,5 ) \}\)

---

Definitions:

Third-Party Intervention

A process in which an external individual or entity gets involved in a conflict or negotiation to assist the parties in reaching a resolution, often used in mediation and dispute resolution contexts.

Mediator

A neutral third party that assists in resolving conflicts or disputes between other parties through facilitation and negotiation.

Arbitrator

An independent third party who is appointed to resolve a dispute between two parties by making a decision that is binding on both.

Task Interdependence

The degree to which the work performed by one individual or group affects the work of another individual or group.