Find the Solution or Solutions, If Any Exist, to the System

question 3

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array} \right.$$

• A) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• B) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• C) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)
• D) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)

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Definitions:

Behavioral Level

The manifestation of actions and reactions observed in individuals or groups, often studied in psychology to understand and predict human behavior better.

Emotional Level

Describes the intensity or degree of emotions a person experiences or expresses.

Physiological Level

Referring to the normal functioning of an organism or any of its parts, usually associated with biochemical and physical processes.

Tend-and-befriend Response

A stress response model proposing that people, particularly women, seek social alliances and support rather than fight or flight.