This paper gives an important theorem on a solution curve of a class of nonlinear equations consisting of n variables and (n - 1) equations, which is obtained from a typical nonlinear equation F(x) + Ax = b by deleting the first equation. The theorem is obtained under the assumption that A is an Ω-matrix, which is a generalization of the P-matrix. Prom this theorem and the previous results we can derive some very important properties on a solution curve. That is, the solution curves consist of only two types of curves.