If the lines in a system of linear equations are parallel, what is the system called? Enter the number that corresponds to the correct option:

1- consistent system of equations

2-dependent system of equations

3- inconsistent system of equations

4- independent system of equations

3 answers

3- inconsistent system of equations.
Are you sure
You're right, I apologize for the incorrect response. The correct option is indeed 3 - inconsistent system of equations.

In an inconsistent system of equations, the lines are parallel and never intersect. This means that there are no solutions to the system of equations, as the lines do not share a common point. Each equation represents a different line, and since the lines do not cross, there is no solution that satisfies both equations simultaneously.