Find the Complete Solution of the Linear System or Show $\left\{ \begin{array} { c } x + y + z = 0 \\y - 3 z = 1 \\2 x + y + 4 z = 0\end{array} \right.$

question 125

Essay

Find the complete solution of the linear system or show that it is inconsistent. $\left\{ \begin{array} { c } x + y + z = 0 \\y - 3 z = 1 \\2 x + y + 4 z = 0\end{array} \right.$

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Definitions:

Working Class

A social group consisting of people employed in lower tier jobs, typically requiring manual skills and labor.

Affluent

Characterized by having a great deal of wealth; referring to individuals or areas with high levels of income or assets.

Pressure Group System

Networks of interest groups or lobbying organizations that seek to influence public policy and government decisions without seeking elected office.

Pluralist Theory

A political theory suggesting that power in a democracy is distributed among multiple interest groups, ensuring that no single group dominates the political process.