Solve the System by Any Method, If Possible $$\left\{ \begin{array} { l } x = \frac { 3 } { 2 } y + 3 \\2 x - 3 y = 9\end{array} \right.$$

question 32

Multiple Choice

Solve the system by any method, if possible. $$\left\{ \begin{array} { l } x = \frac { 3 } { 2 } y + 3 \\2 x - 3 y = 9\end{array} \right.$$

• A) \(\left( \frac { 1 } { 2 } , 12 \right)\)
• B) \(\left( 12 , \frac { 3 } { 2 } \right)\)
• C) \(\left( 9 , \frac { 2 } { 3 } \right)\)
• D)infinitely many solutions, dependent equations
• E)no solution, inconsistent system

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Definitions:

Alcohol

A psychoactive substance found in beverages such as beer, wine, and spirits, which can affect the central nervous system, leading to intoxication and, with excessive consumption, addiction.

Depressants

A class of drugs that reduce neurological function, leading to calming, sedative effects, or decreased awareness.

Neural Activity

The operation of nerve cells (neurons) which involves the generation and transmission of electrical and chemical signals.

Caffeine

A stimulant found in coffee, tea, and various other beverages that affects the central nervous system, resulting in increased alertness and reduced fatigue.