Solve the System $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

question 425

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

• A) \(\{ ( x , - 5 x - 9 , - 13 x + 22 ) \}\)
• B) \(\{ ( x , - 5 x + 9 , - 13 x + 22 ) \}\)
• C) \(\{ ( x , 5 x - 9 , - 13 x + 22 ) \}\)
• D) \(\{ ( x , 5 x + 9 , - 13 x + 22 ) \}\)

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Definitions:

Creativity

The use of imagination or original ideas to create something; inventiveness in thinking or problem-solving.

Commercially Extinct

Refers to a status where a species of fish or other marine population can no longer sustain a commercial fishery, due to overfishing or other environmental factors.

Over-fishing

The practice of catching fish at a rate faster than they can reproduce, leading to a decline in fish populations.

Fish Population

Refers to the number of fish within a specific ecosystem or area, often considered in terms of species diversity and biomass.