Solve the System $$\begin{array} { l } x - 2 y = 8 \\- 3 x + 6 y = - 24\end{array}$$

question 186

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } x - 2 y = 8 \\- 3 x + 6 y = - 24\end{array}$$

• A) \(\varnothing\)
• B) \(\left. \left\{ x , \frac { x } { 6 } - 4 \right\} \right\}\)
• C) \(\left. \left\{ x , \frac { x } { 2 } - 4 \right\} \right\}\)
• D) \(\left\{ \left\{ x , 4 - \frac { x } { 2 } \right) \right\}\)

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Definitions:

Traditionally Expected

Behaviors or roles that are anticipated or deemed appropriate based on historical or cultural norms.

Husbands' Names

The practice or tradition whereby a woman adopts her husband's surname after marriage, often signifying union or familial belonging.

Moderator Variable

A factor that influences the magnitude or direction of the association between an independent and a dependent variable in statistical studies.

Criterion Variable

In research, the dependent variable or outcome that researchers are interested in predicting or understanding.