Consistent and Inconsistent Equations

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. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/