Solve the System by the Addition Method \(\Left\{ \Begin{array} { C } 4 X + Y =

question 101

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- \(\left\{ \begin{array} { c } 4 x + y = 12 \\ 16 x + 4 y = 48 \\ \text { \end{array} \right.\)

• A) \(\{ ( 5 , - 8 ) \}\)
• B) infinitely many solutions; \(\{ ( x , y ) \mid 4 x + y = 12 \}\) or \(\{ ( x , y ) \mid 16 x + 4 y = 48 \}\)
• C) no solution; \(\varnothing\)
• D) \(\{ ( 0,12 ) \}\)

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Definitions:

Unconscious Motivation

The influence of unseen or unrecognized desires and drives on an individual's behavior or thoughts.

Rational Thought

Rational thought involves the logical, reasoned, and systematic processing of information to make decisions and solve problems.

Genetically Bound

Characteristics or traits that are inherited from parents through genes.

Oedipus Complex

A psychological theory that suggests a child's unconscious sexual desire for the opposite-sex parent and jealousy toward the same-sex parent.