1. y = 3x + 4

2. 2x + y = -1

4.  (-1, 1) is where the two lines intersect.  This point is a point on both lines.  Therefore, if we substitute -1 in for x and 1 in for y, we should get a true statement, for both equations.

5. y = 3x + 4 1 = 3 (-1) + 4 1 = -3 + 4 1= 1 2x + y = -1 2(-1)+ 1 = -1 -2 + 1 = -1 -1 = -1

6. The solution to this system of equations is the POINT where the two lines intersect.

8. 2x + y = -1

9. 2x + y = 7

10. 2x + y = -1 2x + y = 7

11.  We cannot see an intersection for these two line.  The lines are parallel.  These two lines have no points in common.  Therefore, there are no values for x and y, that will make both equations true…2x +y cannot equal -1 and 7 simultaneously.

12. There is NO SOLUTION to this system of equations.

14. y = 3x + 4

15. 3x – y = -4

17.  Where do these lines intersect?  They intersect at EVERY POINT!!  These two lines have ALL points in common.  Therefore, every point on either line, is also a point on the other line.

18. There are INFINITELY MANY SOLUTIONS to this system of equations.

19. 3 Possible Solutions to a System of Equations  Ordered Pair  No Solution  Infinitely Many Solutions The lines intersect at a POINT. The lines are PARALLEL. The equations represent the SAME LINE.