y=−3x+6

y=x+2

The system has one solution, (1,3).

The system has no solution. The lines are parallel.

The system has infinitely many solutions. The equations are the same line.

y=x+2

The system has one solution, (1,3).

The system has no solution. The lines are parallel.

The system has infinitely many solutions. The equations are the same line.