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Determine If the Given Ordered Triple Is a Solution of the System

question 29

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Determine if the given ordered triple is a solution of the system.
- (4,2,1) {xy+z=7x+y+z=3x+yz=1\begin{array} { l } ( - 4,2 , - 1 ) \\\left\{ \begin{array} { l } x - y + z = - 7 \\x + y + z = - 3 \\x + y - z = - 1\end{array} \right.\end{array}


Definitions:

Indifference Curve

A graph showing different bundles of goods between which a consumer is indifferent, reflecting their preferences for combinations of goods.

Utility

A measure of satisfaction or benefit that consumers receive from consuming goods and services.

Equilibrium Position

The state in which market supply and demand balance each other, resulting in stable prices and quantities.

Budget Line

A graphical representation showing all possible combinations of two goods that can be purchased with a given income.

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