Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { c } 4 x - 3 y + 6 z = - 5 \\8 x + 4 y - 8 z = - 5 \\20 x - 15 y + 30 z = - 1\end{array}$$

question 443

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.
- $$\begin{array} { c } 4 x - 3 y + 6 z = - 5 \\8 x + 4 y - 8 z = - 5 \\20 x - 15 y + 30 z = - 1\end{array}$$

• A) \(\{ ( - 5 z + 4,4 z - 15 , z ) \}\)
• B) \(\{ ( 5,5 , - 1 ) \}\)
• C) \(\varnothing\)
• D) \(\{ ( - 5 , - 5 , - 1 ) \}\)

---

Definitions:

ATA/SAE 7-pin

A standardized connector interface used primarily in the transportation industry for electronic communication between tractors and trailers.

Trailer ABS

An Anti-lock Braking System specifically designed for trailer units, improving their stability and reducing stopping distances.

Split-Coefficient Stop

A braking situation where the friction coefficient varies between the wheels, affecting stopping performance and stability.

6S/4M Split Configuration

A specific arrangement in electronic braking systems involving six sensors and four modulators for improved braking control.