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:

Membranous Urethra

A section of the urethra that runs through the urogenital diaphragm, connecting the prostatic to the spongy urethra.

Genital Papilla

A small, fleshy protrusion found in the genital area of females of certain species, including fish and amphibians, often covering the opening of the urethra or vagina.

Urogenital Orifice

An anatomical term referring to the external opening through which urinary and genital systems discharge in certain animals.

Urogenital Sinus

A part of the embryonic development in mammals where the urinary and genital tracts are combined into a single channel.