Use an Inverse Matrix to Find the Solution to the System

question 194

Multiple Choice

Use an inverse matrix to find the solution to the system.
- $$\left\{ \begin{array} { l } - 3 x - 7 y - 2 z = - 43 \\- 9 x + 6 y + 5 z = 2 \\- 5 x - 7 y + 5 z = - 4\end{array} \right.$$

• A) \(x = 5 , y = 2 , z = 7\)
• B) \(x = 2 , y = 7 , z = 2\)
• C) \(x = 6 , y = 0 , z = 7\)
• D) \(x = 5 , y = - 2 , z = - 7\)

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Definitions:

Resistance

The act of opposing or withstanding; in psychology, it refers to the opposition to discussing, thinking about, or processing emotionally painful memories or feelings.

General Adaptation Syndrome

A three-stage response model describing the body's short-term and long-term reactions to stress, composed of alarm, resistance, and exhaustion phases.

Physiological Exhaustion

A state of extreme physical or mental fatigue brought about by excessive strain or use.

Energy Reserves

Stored substances in the body, such as glycogen and fat, that can be utilized as fuel for biological processes when needed.