Solve the System by the Substitution or Elimination Method $$\left( \begin{array} { r l } 16 x ^ { 2 } + 2 y ^ { 2 } & = 70 \\y ^ { 2 } - 16 x ^ { 2 } & = 38\end{array} \right)$$

question 30

Multiple Choice

Solve the system by the substitution or elimination method. $$\left( \begin{array} { r l } 16 x ^ { 2 } + 2 y ^ { 2 } & = 70 \\y ^ { 2 } - 16 x ^ { 2 } & = 38\end{array} \right)$$

• A) \(\left( \frac { i \sqrt { 2 } } { 4 } , 6 \right) , \left( - \frac { i \sqrt { 2 } } { 4 } , - 6 \right)\)
• B) \(\left( - \frac { i \sqrt { 2 } } { 4 } , 6 \right) , \left( \frac { i \sqrt { 2 } } { 4 } , - 6 \right)\)
• C) \(\left( \frac { i \sqrt { 2 } } { 4 } , 6 \right) , \left( - \frac { i \sqrt { 2 } } { 4 } , 6 \right) , \left( \frac { i \sqrt { 2 } } { 4 } , - 6 \right) , \left( - \frac { i \sqrt { 2 } } { 4 } , - 6 \right)\)

---

Definitions:

Purely Competitive

A market structure characterized by many sellers offering identical products with no single seller able to influence the market price.

Total Revenue

The total amount of money a firm receives from sales of its products or services before any expenses are subtracted.

Quantity Sold

The total number of units of a product or service that have been purchased by consumers during a specific period.

Profit-Maximizing

The method or approach of modifying production and pricing to secure the maximum achievable profit.