Find All Solutions of the System $$\left\{ \begin{array} { l } 2 x - 3 y + 2 z = 3 \\4 x + 2 y + 3 z = 13 \\5 x + 4 y + 2 z = 16\end{array} \right.$$

question 13

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{array} { l } 2 x - 3 y + 2 z = 3 \\4 x + 2 y + 3 z = 13 \\5 x + 4 y + 2 z = 16\end{array} \right.$$

• A) \(( 1,2 , - 2 )\)
• B) \(( 1 , - 1,2 )\)
• C) \(( 2,1,1 )\)
• D) \(\text { The system is dependent. }\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

Hypothesis

In psychology, a specific statement about behavior or mental processes that is tested through research.

Independent Variable

The variable in an experiment that is manipulated to observe its effect on the dependent variable.

Testable

Referring to a hypothesis or theory that can be examined through experimental or observational methods to determine its validity.

Behavior

The actions or reactions of an object or organism, usually in relation to the environment.