Graph the Equations to Determine Whether the System Has Any $$\left\{ \begin{array} { r } 3 x - y = 21 \\x ^ { 2 } - y ^ { 2 } = 49\end{array} \right.$$

question 1

Multiple Choice

Graph the equations to determine whether the system has any solutions. Find any solutions that exist. $$\left\{ \begin{array} { r } 3 x - y = 21 \\x ^ { 2 } - y ^ { 2 } = 49\end{array} \right.$$

• A) \(( - 7,0 ) \left( \frac { 28 } { 5 } , \frac { 21 } { 5 } \right)\)
• B) \(( 7,0 ) \left( \frac { 35 } { 4 } , \frac { 21 } { 4 } \right)\)
• C) \(( 0 , - 7 ) ( 28,7 )\)
• D) \(( 0,7 ) ( - 7,42 )\)
• E)no solution exists

---

Definitions:

Perfect Competition

A market structure characterized by many buyers and sellers, homogenous products, and free entry and exit from the market.

Monopolistic Competition

A market structure where many firms sell products that are similar but not identical, allowing for product differentiation.

Perfect Competitors

Firms in a market structure characterized by many sellers offering identical products, where no single seller can influence market prices.

Monopolistic Competitors

Firms operating in a market structure characterized by many firms selling products that are similar but not identical, allowing for some degree of market power.