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) \(\left\{ \left( \frac { 50 - 15 z } { 23 } , \frac { - 11 + z } { 23 } , z \right) \right\}\)

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Definitions:

Qualities

Inherent or distinctive characteristics or traits that define the nature of something.

Median

The middle value in a dataset when it is sorted in ascending order, or the average of the two middle values when the set is even.

Even Number

An even number is an integer that is exactly divisible by 2, such as 2, 4, 6, and so on.

Formula

A mathematical relationship or rule expressed in symbols.