Inconsistent and Dependent Systems of Equations - Concept

Concept Concept (1)

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions. These two situations occur when trying to solve for a system of equations.

Sample Sample Problems (2)

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Inconsistent and Dependent Systems of Equations - Problem 1

Solve:

y = 3x − 1
3x − y − 1 = 0
Problem 1
How to tell if a system of equations is dependent.
Inconsistent and Dependent Systems of Equations - Problem 2

Solve:

2y − 3x = 6
y = 3 x − 1
2
Problem 2
How to tell if a system of equations is inconsistent.