True or False. Give explanation   A system of three linear equations in two variables will be either inconsistent or dependent.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.3: Multivariable Linear Systems
Problem 2E
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True or False. Give explanation

 

A system of three linear equations in two variables will be either inconsistent or dependent.

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Given- A system of three linear equations in two variables will be either inconsistent or dependent

To state- The above statement is true or false.

Identity used- An inconsistent system of equations in three variables, which means that it does not have a solution that satisfies all three equations and dependent solutions means they will be related to each other

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