Solve the System $$\left\{ \begin{aligned}8 x + y & = 2 \\- 24 x - 3 y & = - 6\end{aligned} \right.$$

question 151

Multiple Choice

Solve the system.
- $$\left\{ \begin{aligned}8 x + y & = 2 \\- 24 x - 3 y & = - 6\end{aligned} \right.$$

• A) inconsistent (no solution)
• B) \(y = 8 x + 6\), where \(x\) is any real number
• C) \(y = - 8 x + 2\), where \(x\) is any real number
• D) \(x = - 8 y + 2\), where \(y\) is any real number

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Definitions:

Variable Cost

Expenses in a business operation that fluctuate with the level of output, such as materials and labor costs.

Utilization

The degree to which a resource, such as equipment or labor, is being used effectively to produce goods or services.

Efficiency

A measure of how well resources (time, energy, costs) are used to achieve a goal or perform a process with minimal waste or effort.

Break-Even Point

The point at which total cost and total revenue are equal, meaning there is no net loss or gain.