Use the Addition Method to Solve the System $$\left\{ \begin{array} { l } 2 ( x + 2 ) + 9 ( y - 4 ) = 1 \\2 ( x - 1 ) = - 9 ( y + 2 )\end{array} \right.$$

question 40

Multiple Choice

Use the addition method to solve the system. If the equations of the system are dependent, or if a system is inconsistent, so indicate. $$\left\{ \begin{array} { l } 2 ( x + 2 ) + 9 ( y - 4 ) = 1 \\2 ( x - 1 ) = - 9 ( y + 2 ) \end{array} \right.$$

• A) \(( 8,4 )\)
• B) \(( 7 , - 2 )\)
• C) \(( - 3,5 )\)
• D)The equations are dependent.
• E)The system is inconsistent.

---

Definitions:

Price/Demand Elasticity

A measure of how much the quantity demanded of a good responds to a change in price, indicating the sensitivity of demand to price changes.

Nonlinear Optimization Models

Mathematical models where the objective function or any of the constraints are nonlinear functions, making the solution process more complex than linear models.

Linear Models

Mathematical models that assume a linear relationship between two or more variables, used to predict the value of a variable based on the value of another.

Risk Analysis Software

Computer programs used to identify, assess, and prioritize risks in projects or investments.