Solve the System of Equations Below by the Gaussian Elimination $3 t + 6 u + v - 8 w = - 31$

question 5

Multiple Choice

Solve the system of equations below by the Gaussian elimination method: $3 t + 6 u + v - 8 w = - 31$ $t + 3 u - 2 v + 7 w = - 21$ $- 7 t - 2 u + 9 v + 6 w = 23$

• A) \(\left( \frac { 333 } { 59 } c + 1 , - \frac { 120 } { 59 } c - 6 , \frac { 193 } { 59 } c + 2 , c \right)\)
• B) \(\left( \frac { 333 } { 59 } c + 1 , \frac { 193 } { 59 } c + 2 , - \frac { 120 } { 59 } c - 6 , c \right)\)
• C) \(\left( \frac { 193 } { 59 } c + 2 , \frac { 333 } { 59 } c - 6 , - \frac { 120 } { 59 } c + 1 , c \right)\)
• D) \(\left( - \frac { 120 } { 59 } c - 6 , \frac { 193 } { 59 } c + 1 , \frac { 333 } { 59 } c + 2 , c \right)\)
• E)no solution

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Definitions:

Planter Aristocracy

A social and economic class of wealthy landowners in the antebellum South who owned large plantations and numerous slaves, exerting significant political and social influence.

Economic Self-Interest

The motivation that drives individuals to pursue their own material wealth and benefit, often considered a fundamental economic principle.

Antebellum South

Refers to the period and region of the Southern United States before the Civil War, characterized by an agrarian economy and large plantations.

Monotonous Diet

A diet consisting largely of the same foods every day, leading to a lack of variety and potential nutritional deficiencies.