Solve the System of Equations Using Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 74 \\x ^ { 2 } - y ^ { 2 } = 24\end{array} \right.$$

question 103

Multiple Choice

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 74 \\x ^ { 2 } - y ^ { 2 } = 24\end{array} \right.$$

• A) \(x = 7 , y = 5 ; x = 5 , y = 7 ; x = - 7 , y = - 5 ; x = - 5 , y = - 7\)
• B) \(x = - 7 , y = - 5 ; x = - 5 , y = - 7\)
• C) \(x = 7 , y = 5 ; x = - 7 , y = 5 ; x = 7 , y = - 5 ; x = - 7 , y = - 5\)
• D) \(x = 7 , y = - 5 ; x = 7 , y = 5\)

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Definitions:

Extinction

In psychology, the process through which conditioned responses decrease or disappear as an outcome of repeated exposure without reinforcement.

Reinforcement

In behavioral psychology, it refers to any stimulus which strengthens or increases the probability of a specific response or behavior.

Thorndike

A psychologist known for his work on learning theory that led to the development of operant conditioning within behaviorism.

Puzzle Boxes

A method used in experiments, particularly with animals, to study learning and problem-solving by placing them in boxes from which they must escape by solving a puzzle or performing a specific action.