Solve the System $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

question 425

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

• A) \(\{ ( x , - 5 x - 9 , - 13 x + 22 ) \}\)
• B) \(\{ ( x , - 5 x + 9 , - 13 x + 22 ) \}\)
• C) \(\{ ( x , 5 x - 9 , - 13 x + 22 ) \}\)
• D) \(\{ ( x , 5 x + 9 , - 13 x + 22 ) \}\)

---

Definitions:

Trachea

The part of the respiratory tract between the larynx and the bronchial tree that is tubular and made of rings of cartilage and smooth muscle; also called the windpipe.

Vocal Cords

Elastic bands of muscle tissue in the larynx involved in producing sound through their vibration as air passes through.

Larynx

The voice box; an organ located in the neck responsible for producing sound.

Bronchi

The main air passages into the lungs, branching from the trachea and allowing air to flow in and out of the lungs.