Solve the System of Equations Using Substitution $$\left\{ \begin{array} { l } y = 6 x ^ { 2 } - 5 x \\y = 2 x + 3\end{array} \right.$$

question 99

Multiple Choice

Solve the system of equations using substitution.
- $$\left\{ \begin{array} { l } y = 6 x ^ { 2 } - 5 x \\y = 2 x + 3\end{array} \right.$$

• A) \(x = \frac { 1 } { 6 } , y = \frac { 10 } { 3 } ; x = 1 , y = 5\)
• B) \(x = - \frac { 1 } { 2 } , y = 2 ; x = 1 , y = 5\)
• C) \(x = \frac { 3 } { 2 } , y = 6 ; x = - \frac { 1 } { 3 } , y = - \frac { 7 } { 3 }\)
• D) \(x = \frac { 1 } { 3 } , y = \frac { 11 } { 3 } ; x = - \frac { 3 } { 2 } , y = 0\)

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Definitions:

General Fund

The primary operating fund of a government, covering general operations and services not accounted for in special-purpose funds.

Direct Increase

A rise in the value or quantity of something without intervening steps or intermediaries.

Endowment Fund

A fund where the principal amount is kept intact while the investment income is available for use, typically for the ongoing support of an organization.

General Fund

A main operating fund in governmental accounting, covering most basic services and activities.