Find All Solutions of the System $\left\{ \begin{array} { r } - x + 6 y + 5 z = 0 \\6 z = 0\end{array} \right.$

question 25

Multiple Choice

Find all solutions of the system. $\left\{ \begin{array} { r } - x + 6 y + 5 z = 0 \\6 z = 0\end{array} \right.$

• A) \(( y , 5 y , 6 )\)
• B) \(( 6 y , y , 0 )\)
• C) \(( y , 5 y , 0 )\)
• D) \(\text { The system is dependent. }\)
• E) \(\text { The system is inconsistent. }\)

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Definitions:

First-order Cybernetics

An approach that studies systems, including their regulations and communications, from an external viewpoint without considering the system's self-awareness.

Systemic Practices

Approaches and methods that consider the interrelated components of a system, such as in families or organizations, aiming to address issues from a holistic perspective.

Assimilative Integration

An approach in psychotherapy that combines techniques from different schools of thought within the therapist's primary orientation.

Solution-focused Counseling

A short-term therapeutic approach that emphasizes finding solutions to problems rather than focusing on the problems themselves.