Find All Solutions of the System $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

question 8

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

• A) \(( 4,1 , - 5 , - 4 )\)
• B) \(( - 4,5 , - 1,4 )\)
• C) \(( 5 , - 1 , - 4,4 )\)
• D) \(\text { The system is dependent. }\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

Agreeableness

A personality trait involving attributes such as trust, altruism, kindness, and affection toward others.

Agreeableness

A personality trait characterized by kindness, empathy, trust, and cooperativeness.

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A personality trait of being thorough, careful, or vigilant; entails a strong sense of duty and responsibility.

Erikson's Life Stages

A theory by Erik Erikson that describes eight stages through which a healthily developing human should pass from infancy to late adulthood.