Solve the System by Substitution $\left\{ \left( - \frac { 113 } { 27 } , \frac { 166 } { 27 } \right) \right\}$

question 152

Multiple Choice

Solve the system by substitution.
-2x = 7y + 17
-31 = 3y - 3x

• A) \(\left\{ \left( - \frac { 113 } { 27 } , \frac { 166 } { 27 } \right) \right\}\)
• B) \(\left. \left\{ - \frac { 166 } { 27 } , - \frac { 113 } { 27 } \right) \right\}\)
• C) \(\left\{ \left( \frac { 35 } { 6 } , - \frac { 113 } { 27 } \right) \right\}\)
• D) \(\left\{ \left( \frac { 166 } { 27 } , - \frac { 113 } { 27 } \right) \right\}\)

---

Definitions:

Total Revenue

The total income earned by a company from its sales of goods or services before any costs or expenses are subtracted.

Demand Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, with elasticity greater than one indicating a high response to price changes.

Revenue-Maximizing

The strategy of setting prices and production levels to achieve the highest possible revenue, not necessarily leading to the highest profit.

Inferior Good

A type of good for which demand decreases as the income of the consumer increases, opposite to normal goods.