Solve the System Using the Inverse Method $$\left\{ \begin{aligned}x + 2 y + 3 z & = 11 \\x + y + z & = 3 \\2 x + 2 y + z & = 10\end{aligned} \right.$$

question 13

Multiple Choice

Solve the system using the inverse method.
- $$\left\{ \begin{aligned}x + 2 y + 3 z & = 11 \\x + y + z & = 3 \\2 x + 2 y + z & = 10\end{aligned} \right.$$

• A) \(x = - 8 , y = 49 , z = 7\)
• B) \(x = 33 , y = 46 , z = 16\)
• C) \(x = - 9 , y = 16 , z = - 4\)
• D) \(x = 44 , y = - 6 , z = 10\)

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Definitions:

Instrumentality

In the context of motivation, the belief that a particular level of performance will lead to the attainment of desired outcomes.

Effort

The physical or mental exertion applied in order to achieve something; often related to the intensity of work or study.

Outcome

An outcome is the result or effect of an action, decision, or situation, often analyzed to assess the success or failure of an endeavor.

Valence

In psychology, the value associated with a particular outcome or reward, influencing the motivation of an individual.