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:

Question

1 - consistent system of equations

2 - dependent system of equations

3 - inconsistent system of equations

4 - independent system of equations

____.

Answer 1

2 - dependent system of equations

Answer 2

3 - inconsistent system of equations
because there is no solution

Answer 3

You are correct! When the lines in a system of linear equations are parallel and do not intersect, the system is called an inconsistent system of equations because there is no solution. Thank you for pointing out the error.