Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - 8 y + z = 6 \\3 x - y + 2 z = 7\end{array}$$

question 32

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.
- $$\begin{array} { l } x - 8 y + z = 6 \\3 x - y + 2 z = 7\end{array}$$

• A) \(\left\{ \left( \frac { 50 } { 23 } , - \frac { 11 } { 23 } , 1 \right) \right\}\)
• B) \(\varnothing\)
• C) \(\left\{ \left( \frac { - 50 - 15 z } { 25 } , \frac { 11 + z } { 25 } , z \right) \right\}\)
• D) \(\left\{ \left( \frac { 50 - 15 z } { 23 } , \frac { - 11 + z } { 23 } , z \right) \right\}\)

---

Definitions:

Jail

Jail is a facility authorized to hold people temporarily for trial, awaiting sentencing after conviction, or for minor offenses, as opposed to prison for longer sentences.

Cohabitation

Cohabitation is the state of living together in a romantic relationship without being legally married.

Trial Marriage Cohabitation

An arrangement where two people live together to test their compatibility as a couple before deciding to get married.

Premarital Cohabitation

The act of living together in a romantic relationship without being married, prior to marriage.