If the System Has Infinitely Many Solutions, Write the Solution $$\begin{array} { r } 4 x + y + z = 2 \\x - y + 5 z = 8 \\4 x + y + z = 11\end{array}$$

question 331

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { r } 4 x + y + z = 2 \\x - y + 5 z = 8 \\4 x + y + z = 11\end{array}$$

• A) \(\{ ( 2,3 , - 3 ) \}\)
• B) \(\varnothing\)
• C) \(\{ ( 2 , - 3,3 ) \}\)
• D) \(\{ ( 3 , - 3,2 ) \}\)

---

Definitions:

Skills

Specific abilities and competencies that enable an individual to perform tasks effectively in a professional or personal context.

Behavioral Approach

A methodology in psychology and organizational studies focusing on observable behaviors and the ways in which learning influences behavior.

Leader Skills

The abilities and competencies that an individual possesses which enable them to guide, direct, motivate, and influence a group towards achieving a common goal.

Leader Traits

Inherent characteristics or qualities that are considered desirable or effective in individuals who are in leadership roles.