Solve the System $$\begin{aligned}3 x + 2 y - 6 z & = - 15 \\- 3 y + 6 z & = 21 \\4 z & = 32\end{aligned}$$

question 135

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{aligned}3 x + 2 y - 6 z & = - 15 \\- 3 y + 6 z & = 21 \\4 z & = 32\end{aligned}$$

• A) \(\{ ( 0,0,0 ) \}\)
• B) \(\{ ( - 3,3,2 ) \}\)
• C) Infinitely many solutions; dependent
• D) \(\{ ( 5,9,8 ) \}\)

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Definitions:

Attribution Theory

A concept in social psychology that explores how individuals infer the causes of others' behavior, attributing it to either internal dispositions or external situations.

Internal And External Attributions

The process of explaining one's own behavior and the behavior of others by attributing causes to internal dispositions or to external situations.

Attribution Errors

Cognitive biases that occur when an individual incorrectly assigns cause or blame to events based on their perception, often overlooking external factors.

Perceptual Process

The sequence of steps by which individuals select, organize, and interpret sensory information to represent and understand their environment.