You try to solve a linear system by the substitution method and get the result \( 0=25 \). What does this result mean? (A) The system has one solution, \( (0,25) \). (\%) The system has one solution, \( (25,0) \). (C) The system has no solutions. (D) The system has an infinite number of solutions.

Getting the result \( 0=25 \) indicates that the equations you are working with are contradictory. This is a classic case of parallel lines in a linear system, where the two lines never intersect. Thus, the system has no solutions. In the context of linear systems, contradictory results typically arise when manipulating the equations leads to an impossible statement. It's a clear sign that your original equations represent two lines that are parallel and distinct, solidifying the understanding that a unique solution cannot exist for that system.