Solve the System of Linear Equations Below by the Method $\left\{ \begin{array} { c } - x + 2 y = 3 \\- 2 x + 4 y = 8\end{array} \right.$

question 62

Multiple Choice

Solve the system of linear equations below by the method of elimination, if a single solution exists. $\left\{ \begin{array} { c } - x + 2 y = 3 \\- 2 x + 4 y = 8\end{array} \right.$

• A) \(x = 9 \text { and } y = - 8\)
• B) \(x = - 5 \text { and } y = - 1\)
• C) \(x = 2 \text { and } y = 6\)
• D) \(x = - 4 \text { and } y = 8\)
• E)Infinitely many solutions

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Definitions:

Marginal Costs

The cost added by producing one additional unit of a product, reflecting the variable costs involved in production.

Economic Rationality

The assumption that individuals make decisions based on maximizing utility or profit within constraints, following a logical and efficient approach.

Marginal Utility

The change in satisfaction or utility that a consumer experiences from consuming an additional unit of a good or service.

Opportunity Cost

The loss of potential gain from other alternatives when one alternative is chosen.