Solve the System by the Addition Method $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

question 65

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- $$\left\{ \begin{array} { l } 3 x + \frac { 1 } { 4 } y = - 7 \\5 x + \frac { 1 } { 3 } y = - \frac { 34 } { 3 }\end{array} \right.$$

• A) \(\{ ( - 1 , - 5 ) \}\)
• B) no solution; \(\varnothing\)
• C) \(\{ ( 2 , - 5 ) \}\)
• D) \(\{ ( - 2 , - 4 ) \}\)

Acknowledge the shift in individual identity from group membership to personal characteristics in contemporary society.

Explain how groups use standards, like reference groups, to evaluate themselves and others positively or negatively.

Recognize the role of social change in influencing group dynamics and individual identities.

Understand the concept and implications of social influence in various contexts.

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Definitions:

Voluntary Exchange

An economic transaction where all parties involved agree to the trade, believing they will benefit from the exchange.

Relative Scarcity

The economic concept referring to the limited availability of resources in comparison to the unlimited wants and needs of consumers.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers, creating a market balance.

Equilibrium Quantity

The supply of goods or services equals the demand for them at the price where the market is in equilibrium.