Write the System of Linear Equations Represented by the Augmented $x , y$

question 15

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables $x , y$ , and $z$ .)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 3 & - 23 \\ 0 & 1 & 4 & 19 \\ 0 & 0 & 1 & 5 \end{array} \right]$

• A) \(x = - 44 , y = 3 , z = - 3\)
• B) \(x = - 1 , y = - 4 , z = 5\)
• C) \(x = - 4 , y = 1 , z = - 5\)
• D) \(x = - 4 , y = - 1 , z = 5\)
• E) \(x = 1 , y = 5 , z = 4\)

Analyze the impact of trade on prosperity and how it affects different stakeholders.

Recognize the significance of the production possibilities frontier (PPF) in illustrating economic efficiency and trade-offs.

Differentiate between exports and imports and their roles in international trade.

Identify the historical foundations of modern economic thought related to trade and specialization.

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Definitions:

Neurotransmitters

Chemicals in the brain that transmit signals from one neuron to another, influencing countless functions including mood and behavior.

Synaptic Cleft

The space between two neurons where neurotransmitters are released from one neuron to another.

Dopamine

A neurotransmitter involved in mood, motivation, reward, and the coordination of movement, playing a vital role in the brain's pleasure and reward system.

Serotonin

A neurotransmitter involved in the regulation of mood, anxiety, and happiness, among other physiological processes.