Consistent and inconsistent equations: Difference between revisions

Revision as of 01:28, 15 April 2018

Revision as of 21:03, 16 April 2018

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In [[mathematics]] and in particular in [[algebra]], a [[linear equation system|linear]] or [[nonlinear equation system|nonlinear]] [[system of equations]] is '''consistent''' if there is at least one set of values for the unknowns that satisfies every equation in the system—that is, that when substituted into each of the equations makes each equation hold true as an [[identity (mathematics)|identity]]. In contrast, an equation system is '''inconsistent''' if there is no set of values for the unknowns that satisfies all of the equations.