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 168

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

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Definitions:

Oedipus Complex

A Freudian concept in psychoanalytic theory where a child feels desire for their opposite-sex parent and jealousy towards their same-sex parent.

Psychoanalytic Theory

A set of theories which analyzes the human psyche in terms of conscious and unconscious processes, emphasizing the role of childhood experiences.

Impulsive

Acting or done without forethought, often based on immediate desires or instincts rather than careful consideration.

Self-Indulgent

Behavior characterized by doing or allowing oneself what pleasures them, often without restraint or consideration for consequences.