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

that’s wrong

Answer 3

I apologize for the incorrect response. You are right, when the lines in a system of linear equations are parallel, the system is called a dependent system of equations, not an inconsistent system of equations.

A dependent system of equations means that the equations are essentially the same or multiples of each other. In this case, the equations represent the same line. This means that there are infinitely many solutions to the system.

So, the correct answer is option 2 - dependent system of equations.