Solve the System of Equations by the Substitution Method $$\begin{array} { l } y = \frac { 1 } { 4 } x + 5 \\y = \frac { 1 } { 3 } x + 4\end{array}$$

question 52

Multiple Choice

Solve the system of equations by the substitution method.
- $$\begin{array} { l } y = \frac { 1 } { 4 } x + 5 \\y = \frac { 1 } { 3 } x + 4\end{array}$$

• A) \(\{ ( 12,8 ) \}\)
• B) \(\{ ( - 20,0 ) \}\)
• C) \(\{ ( 12 , - 8 ) \}\)
• D) \(\left\{ \left( \frac { 13 } { 4 } , 29 \right) \right\}\)

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Definitions:

Labor

Human mental and physical contributions employed in the manufacturing of goods and services.

Marginal Product

The extra production obtained when one additional unit of a specific input is used, while all other inputs stay unchanged.

Labor Supply Curve

A graphical representation showing the relationship between the quantity of labor supplied and the wage rate in a given market.

Equilibrium

A state in a market where supply equals demand, with no external forces causing disruption, hence prices tend to stabilize.