In mathematics, and particularly in algebra, a system of linear or nonlinear equations is called consistent if at least one set of values for its unknowns satisfies every equation in the system simultaneously; it is called inconsistent if no such set of values exists. An inconsistent system implies a contradiction, such as the false statement that two equals one, once its equations are combined. Both consistent and inconsistent systems can be overdetermined, with more equations than unknowns, underdetermined, with fewer equations than unknowns, or exactly determined.
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1. Consistent and Inconsistent Equations (Wikipedia)
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In mathematics and particularly in algebra, a system of equations (either linear or nonlinear) is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system-that is, when substituted into each of the equations, they make each equation hold true as an identity.
In Branch: Algebra, Lead sentence
In mathematics and particularly in algebra, a system of equations (either linear or nonlinear) is called consistent if there is at
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