If solving a system of equations using the substitution method results in the one solution which describes the system?
A) consistent one solution
B) consistent infinitely many solutions
C) inconsistent no solution

Question

If solving a system of equations using the substitution method results in the one solution  which describes the system?
A) consistent one solution 
B) consistent infinitely many solutions 
C) inconsistent no solution

Quizplus · Accepted Answer

The fact that the substitution method resulted in one solution indicates that the system is consistent (i.e. solutions exist) and the fact that there is only one solution indicates that the system has a unique solution. Therefore, the correct choice is A, consistent one solution.

If Solving a System of Equations Using the Substitution Method