Solve the System of Equations $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

question 212

Multiple Choice

Solve the system of equations.
- $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

• A)
• \(\begin{array}{l}
• x=3 z+5 \\
• y=z-2 \\
• z=\text { any real number }
• \end{array}\)
• B)
• \(\begin{array}{l}
• x=-3 z-5 \\
• y=z+2 \\
• z=\text { any real number }
• \end{array}\)
• C)
• \(\begin{array}{l}
• x=z-2 \\
• y=-3 z-5 \\
• z=\text { any real number }
• \end{array}\)
• D)\(\text { inconsistent (no solution) }\)

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Definitions:

Organizational Behavior

The study of individual and group dynamics within an organizational context, focusing on improving productivity and promoting healthy work environments.

Real-life Settings

Contexts or environments that occur naturally in everyday life, as opposed to controlled or artificial situations.

Evidence-based Management

The practice of making managerial decisions based on the best available scientific evidence and data.

Simulated Settings

Artificially created environments designed to replicate real-life scenarios for training, testing, or research purposes.