Simplify Complex Rational Expressions
- $$\begin{array} { r } 9 x + 5 z = 65 \\3 y + 6 z = 27 \\2 x + 8 y + 6 z = 42\end{array}$$

question 31

Multiple Choice

Simplify Complex Rational Expressions
- $$\begin{array} { r } 9 x + 5 z = 65 \\3 y + 6 z = 27 \\2 x + 8 y + 6 z = 42\end{array}$$

• A)
• \(\left[ \begin{array} { l l l | l } 9 & 0 & 5 & 65 \\ 0 & 3 & 6 & 27 \\ 2 & 8 & 6 & 42 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { l l | l | l } 9 & 0 & 2 & 65 \\ 0 & 3 & 8 & 27 \\ 5 & 6 & 6 & 42 \end{array} \right]\)
• C)
• \(\left[\begin{array}{lll|l}
• 9 & 5 & 0 & 65 \\
• 3 & 6 & 0 & 27 \\
• 2 & 8 & 6 & 42
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{lll}
• 9 & 0 & 5 \\
• 0 & 3 & 6 \\
• 2 & 8 & 6
• \end{array}\right]\)

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Definitions:

Dependent Variables

Variables in an experiment or model that are expected to change in response to changes in the independent variable(s).

Nonlinear

Describes a process or relationship where a change in input does not lead to a proportional change in output, indicating a complex, non-proportional relationship between variables.

Negative Relation

A relationship between two variables where an increase in one variable is associated with a decrease in the other variable.

Time-Series Graph

A graphical representation showing how a variable changes over time.