# SOLUTION: Explain the differences among a consistent system, an inconsistent system, and a dependent system.

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 Question 164243: Explain the differences among a consistent system, an inconsistent system, and a dependent system.Answer by padmameesala(42)   (Show Source): You can put this solution on YOUR website!A system is consistent if there is at least one solution. for example x+y=1 and 3x+y-2 A system is inconsistent if it has no solutions (When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as a proof that 0 = 1.) for example 3x+7y=3 and 3x+7y=10 A system of equations are dependent if both the equations represent the same equation for example 2x+3y=2 and 4x+6y=4