Solve the System by Using Any Method $$6 x = \frac { y } { 4 } - 5$$

question 50

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$6 x = \frac { y } { 4 } - 5$$
$$0.24 x - 0.01 y = - 0.2$$

• A) { }
• B) \(\left\{ \left( \frac { 5 } { 6 } , 0 \right) \right\}\)
• C) \(\left\{ \left( - \frac { 5 } { 6 } , 0 \right) \right\}\)
• D) \(\{ ( x , y ) \mid 24 x - y = - 20 \}\)

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Definitions:

Inverted-U Theory

A hypothesis suggesting the relationship between a certain factor and its effect follows an inverted U-shape, indicating optimal levels at the midpoint of the factor's intensity.

Industry Concentration

The extent to which a small number of firms dominate the total output, sales, or employment of an industry.

R&D Expenditures

Funds allocated towards research and development activities in order to innovate or improve products, processes, or services.

Diffusion

The process by which an innovation is communicated through certain channels over time among the members of a social system.