Solve the System $\left\{ \begin{array} { l } b + 2 c = 10 - a \\a + c = 11 - 2 b \\2 a + b + c = 11\end{array} \right.$

question 120

Multiple Choice

Solve the system. Give your answer as an ordered triple in the form of ( a, b, c ) .
$\left\{ \begin{array} { l } b + 2 c = 10 - a \\a + c = 11 - 2 b \\2 a + b + c = 11\end{array} \right.$

• A) \(( 3,3,2 )\)
• B) \(( 3,3,1 )\)
• C) \(( 3,4,2 )\)
• D) The system is inconsistent.
• E) The equations are dependent.

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Definitions:

Nicotine

A stimulating and highly addictive chemical found in tobacco that affects the central nervous system.

Acetylcholine

A neurotransmitter in the brain and body that plays significant roles in muscle activation, memory, and learning.

Half-life

The time required for the concentration of a substance in the body to decrease by half, often used in the context of drug metabolism.

Substance Use

The ingestion, inhalation, injection, or application of psychoactive substances, which may lead to addiction in some individuals.