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) \(\text { The system is inconsistent. }\)

---

Definitions:

Demand for Hamburgers

The quantity of hamburgers consumers are willing and able to purchase at various prices.

Sherman Antitrust Act

The Sherman Antitrust Act is a landmark U.S. legislation passed in 1890, aimed at maintaining fair competition in the marketplace by prohibiting monopolies and other activities that restrained trade.

Duopolists

Duopolists are two firms that dominate a particular market or industry, influencing prices and market outcomes.

Demand for Pizza

The quantity of pizza that consumers are willing and able to purchase at various prices.