Definition:Simultaneous Equations/Consistency

Definition
A system of simultaneous equations:


 * $\forall i \in \left[{1 \,.\,.\, m}\right] : f_i \left({x_1, x_2, \ldots x_n}\right) = \beta_i$

that has at least one solution is consistent.

If a system has no solutions, it is inconsistent.