Find All Real Solutions to the System of Equations Using $\begin{array} { l } y = 6 x ^ { 2 } - 5 x \\y = 2 x + 3\end{array}$

question 120

Multiple Choice

Find all real solutions to the system of equations using the substitution method.
- $\begin{array} { l } y = 6 x ^ { 2 } - 5 x \\y = 2 x + 3\end{array}$

• A) \(\left( \frac { 1 } { 6 } , \frac { 10 } { 3 } \right) , ( 1,5 )\)
• B) \(\left( \frac { 3 } { 2 } , 6 \right) , \left( - \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)\)
• C) \(\left( \frac { 1 } { 3 } , \frac { 11 } { 3 } \right) , \left( - \frac { 3 } { 2 } , 0 \right)\)
• D) \(\left( - \frac { 1 } { 2 } , 2 \right) , ( 1,5 )\)

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Definitions:

Velocity

Velocity in economics refers to the speed at which money circulates within the economy, indicating how frequently units of currency are used to purchase domestically produced goods and services.

Price Level

The present average price level across the economy's entire production of goods and services.

Money Supply

The total quantity of money available within an economy, including cash, coins, and balances held in bank accounts.

Classical Dichotomy

The theoretical separation of real and nominal variables in classical economics, implying that economic variables can be distinctively divided into those that are related to quantity and those related to price.