Solve the System

question 166

Essay

Solve the system. If a system is inconsistent or if the equations are dependent, so indicate. $\left\{ \begin{array} { l } x + \frac { 1 } { 2 } y + z = 8 \\\frac { 1 } { 2 } x - y + \frac { 1 } { 2 } z = - 1 \\x + \frac { 1 } { 2 } y - \frac { 1 } { 2 } z = 2\end{array} \right.$

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Definitions:

Adolescents' Lives

A phase in human development that involves the transition from childhood to adulthood, marked by physical, psychological, and social changes.

School

Educational institutions where students receive instruction and training from teachers, often compulsory up to a certain age and necessary for personal development.

Home

A place of residence where an individual, family, or household lives; often considered a personal and safe environment.

Formal Operational Thought

A stage of cognitive development, as identified by Jean Piaget, where individuals (around age 12 and older) become capable of abstract thinking, logical reasoning, and complex problem solving.