Solve the System by Graphing $\left\{\begin{array}{l}y=x+3 \\y=3 x+7\end{array}\right.$ A) $\{ ( - 2,1 ) \}$

question 117

Multiple Choice

Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to
express the solution set.
- $\left\{\begin{array}{l}y=x+3 \\y=3 x+7\end{array}\right.$

• A) \(\{ ( - 2,1 ) \}\)
• B) \(\{ ( 2 , - 1 ) \}\)
• C) \(\{ ( 1 , - 2 ) \}\)
• D) no solution; \(\varnothing\)

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Definitions:

Equilibrium Price

The market price at which the quantity of goods supplied equals the quantity of goods demanded.

Equilibrium Quantity

The quantity of goods or services supplied that equals the quantity demanded at the market equilibrium price.

Positively Sloped

A line or curve on a graph that increases in value as it moves from left to right, indicating a direct relationship between two variables.

Negatively Sloped

A descriptor for a line on a graph that moves downwards from left to right, indicating an inverse relationship between the variables plotted.