Find All the Solutions for the System $\left\{ \begin{array} { l } x - y = 5 \\x ^ { 2 } - y ^ { 2 } = 41\end{array} \right.$

question 65

Essay

Find all the solutions for the system. $\left\{ \begin{array} { l } x - y = 5 \\x ^ { 2 } - y ^ { 2 } = 41\end{array} \right.$

---

Definitions:

Emotional Trauma

Psychological distress caused by extraordinarily stressful events that shatter an individual's sense of security, leading to feelings of helplessness and vulnerability.

Projective Test

A type of personality assessment tool that uses ambiguous stimuli to elicit responses that are thought to reveal hidden aspects of an individual's personality.

Self-Esteem

An individual's subjective evaluation of their own worth or value, encompassing beliefs about oneself as well as emotional states.

Implicit Memory

A category of memory that facilitates the carrying out of tasks without deliberate awareness of the antecedent experiences.