Solve the System $$\begin{array} { l } 2 x + 2 y + 5 z = - 19 \\2 x + 2 y + 3 z = - 13 \\6 x + 6 y + 11 z = - 44\end{array}$$

question 64

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.
- $$\begin{array} { l } 2 x + 2 y + 5 z = - 19 \\2 x + 2 y + 3 z = - 13 \\6 x + 6 y + 11 z = - 44\end{array}$$

• A) No solution; inconsistent
• B) Infinitely many solutions; dependent
• C) \(\{ ( 1,2 , - 5 ) \}\)
• D) \(\{ ( 1,1 , - 4 ) \}\)

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Definitions:

Implicit Pressure

An unspoken or indirect force that influences individuals to act or think in a certain way, often stemming from societal or cultural expectations.

Minority Opinions

Views or beliefs held by a small segment of a community or group, which can differ significantly from the majority consensus.

Informational Influence

The effect of information or knowledge from others on an individual's attitudes, opinions, or behaviors.

Conversion Theory

The theory that minority group members can influence the majority to accept their beliefs or behaviors, even if they are in a less powerful position.