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:%E2%80%AF %0D%0A%0D%0A1 - consistent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A2 - dependent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A3 - inconsistent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A4 - independent system of equations%E2%80%AF%0D%0A%0D%0A(1 point)

Question

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:%E2%80%AF %0D%0A%0D%0A1 - consistent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A2 - dependent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A3 - inconsistent system of equations%E2%80%AF%E2%80%AF %0D%0A%0D%0A4 - independent system of equations%E2%80%AF%0D%0A%0D%0A(1 point)

Answer 1

3 - inconsistent system of equations

Answer 2

Solve the system of equations. x=6y−3 2x+7y=13 (1 point)

Answer 3

The correct option is 3 - inconsistent system of equations.

Answer 4

The correct option for a system of linear equations with parallel lines is 2 - dependent system of equations.

Explanation:
When two lines are parallel, they have the same slope but different y-intercepts. In a system of linear equations, if the lines are parallel, it means they have the same slope and will never intersect. This implies that there are infinitely many solutions to the system, and the equations are dependent on each other.

To determine if the lines in a system of linear equations are parallel, you can compare the slopes of the equations. If the slopes are equal and the y-intercepts are different, then the lines are parallel.