Use the Substitution Method to Solve the Following System $$\left\{ \begin{array} { l } 9 ( x - 1 ) + 41 = 75 - 7 y \\7 ( x + 1 ) + 29 = 68 - 4 y\end{array} \right.$$

question 11

Multiple Choice

Use the substitution method to solve the following system. If the equations of the system are dependent, or if the system is inconsistent, so indicate. $$\left\{ \begin{array} { l } 9 ( x - 1 ) + 41 = 75 - 7 y \\7 ( x + 1 ) + 29 = 68 - 4 y\end{array} \right.$$

• A) \(( 4,1 )\)
• B) \(( 1,4 )\)
• C) \(( - 4 , - 1 )\)
• D)The equations are dependent.
• E)The system is inconsistent.

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Definitions:

Logical Operations

Cognitive processes that involve reasoning, including the ability to conceptualize abstract principles and apply logical thinking to solve problems.

Concrete Problems

Issues or challenges that are tangible, well-defined, and can be directly experienced or handled.

Scaffolding

A teaching method that involves giving support to students as they learn new concepts, gradually removing the support as students become more independent in the learning process.

Postformal Thought

A stage of cognitive development proposed to follow Piaget's formal operational stage, characterized by the recognition that truth may vary from situation to situation and the increased use of logic to solve complex problems.