Graph the Equations Below and Determine the Solution If It $\left\{ \begin{array} { l } - 2 x - y = 2 \\10 x + 5 y = 30\end{array} \right.$

question 11

Multiple Choice

Graph the equations below and determine the solution if it exists. $\left\{ \begin{array} { l } - 2 x - y = 2 \\10 x + 5 y = 30\end{array} \right.$

• A)The system is consistent and has one solution whose value for x is 3 and the value for y is 2 .
• B)The system is inconsistent.
• C)The system is consistent and has one solution whose value for x is 2 and the value for y is \(25\) . \(40\)
• D)The system is consistent and has one solution whose value for x is \(47\) and the value for y is 5 .
• E)The system is consistent and has an infinite number of solutions

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Definitions:

Cognitive Control

The ability of individuals to regulate their thoughts, emotions, and actions through mental processes, enabling goal-directed behavior.

Aroused

A state of heightened physiological and psychological activity, including alertness and emotional intensity.

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A subjective measure of an individual's worth or value, often determining how much one respects and regards oneself.

Counterstereotypic Examples

Instances or cases that go against common stereotypes, thereby challenging and potentially altering stereotypical beliefs.