Solve the System Graphically $$\left\{ \begin{array} { l } x y + 5 x = 24 \\\frac { y } { x } + y = \frac { 5 } { 4 }\end{array} \right.$$

question 160

Multiple Choice

Solve the system graphically.
- $$\left\{ \begin{array} { l } x y + 5 x = 24 \\\frac { y } { x } + y = \frac { 5 } { 4 }\end{array} \right.$$

• A) \(\left( - \frac { 3 } { 4 } , - 4 \right)\)
• B) \(\left( \frac { 19 } { 4 } , \frac { 1 } { 25 } \right) , ( - 1 , - 29 )\)
• C) \(( 4,1 ) , \left( - \frac { 24 } { 25 } , - 30 \right)\)
• D) \(( 4,1 )\)

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Definitions:

Equilibrium Level

The point at which market supply equals market demand, leading to a stable situation where there is neither excess demand nor excess supply.

Equilibrium Price

The price at which the quantity of a good or service supplied is equal to the quantity demanded, resulting in no net surplus or shortage in the market.

Natural Gas

A fossil fuel used as a source of energy for heating, cooking, and electricity generation, consisting primarily of methane.

Supply And Demand

The fundamental economic model that explains the interaction between the quantity of a good or service that producers wish to sell and the quantity that consumers wish to buy.