Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { l } x + 6 y = - 18 \\- 7 x + 5 y = 32\end{array}$$

question 482

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { l } x + 6 y = - 18 \\- 7 x + 5 y = 32\end{array}$$

• A) Cramer's rule does not apply since \(\mathrm { D } = 0\); \(\varnothing\)
• B) \(\{ ( - 7 , - 1 ) \}\)
• C) \(\{ ( 6 , - 1 ) \}\)
• D) \(\{ ( - 6 , - 2 ) \}\)

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Definitions:

Repeated Measures Design

An experimental design in which the same subjects are tested under each condition, allowing comparison of their performance across different conditions.

2 × 2 Factorial Design

An experimental design involving two independent variables, each at two levels, exploring their effect individually and interactively.

Simple Main Effect of Gender

The isolated impact of gender on a dependent variable within a factorial study design, disregarding the influence of other interacting factors.

Interactions

In research, refers to the way different variables influence each other, often modifying the effects of one variable on another.