Find the Complete Solution of the System $\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.$

question 40

Multiple Choice

Find the complete solution of the system. $\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.$

• A) \(x = \frac { 11 } { 3 }\), \(y = \frac { 1 } { 3 }\), \(z = \frac { 1 } { 3 }\)
• B) \(x = \frac { 11 } { 3 }\), \(y = \frac { 4 } { 3 }\), \(z = \frac { 1 } { 3 }\)
• C) \(x = \frac { 11 } { 3 }\), \(y = \frac { 1 } { 3 }\), \(z = - \frac { 2 } { 3 }\)
• D) \(x = 3\), \(y = 1\), \(z = 11\)
• E) no solution

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Definitions:

Dopamine

A neurotransmitter involved in reward, motivation, and the regulation of mood and movement.

Reward

A benefit, often in the form of material or social gain, given in response to an individual's behavior or performance.

Serotonin Depletion

Serotonin depletion refers to a decrease in the levels of serotonin, a neurotransmitter involved in mood regulation, which can lead to various mental health issues.

Pessimism

Pessimism is an attitude or mindset characterized by a tendency to see the worst aspect of things or believe that the worst will happen; a lack of hope or confidence in the future.