Which statement about the following system is correct 3y6x12

Which statement about the following system is correct?

3y=-6x+12

2x+y=8

1. The system is consistent because it has no solution.

2. The system is inconsistent because the two equations actually represent the same line.

3. The system is consistent because it has a solution.

4. The system is inconsistent because it has no solution.

3y= -6x+12

2x+y=8

equation 1: 3y +6x =12

divide the equation : y +2x =4

equation 2: y +2x =8

The two lines are parallel and are inconsisitent and have no solution.

Option 4