This document introduces different methods for solving systems of linear equations: graphing, substitution, and elimination. It provides examples of solving systems by graphing them on a coordinate plane and finding the point of intersection. It also gives examples of converting equations between standard and slope-intercept form and using substitution and elimination to solve systems algebraically.

1. Solving Linear Equations Using Graphing Substitution and Elimination Introduction to Unit Six

8. Graph on the board Graph y = 3x + 1 y = -x + 5

9. Graphs y = 3x + 1 y = -x + 5

10. Solving By Graphing Which point or points can fit into both equations? The result is the ( x,y ) coordinates of the intersection.

11. The coordinates of the intersecting point is your solution. The lines inter- cept at (1, 4) so the solution is x=1, y =4. The lines inter- cept at (1, 4) so the solution is x=1, y =4.

13. The coordinates of the intersecting point is your solution. The lines inter- cept at (-20,-12) so the solution is x= -20, y = -12.

17. Graph the equations: y = - 3 / 2 x -3 and y = 3 / 2 x + 3 x = 2, y = 0 The solution is (2,0)

18. Math is NOT a Spectator Sport Write it Out!

19. End of Part One Assignment: pg. 323-4: 10 - 27

20. Extras for presentation x y -4 -2 0 +2 +4 -6 -4 -2 0 +2 +4 +6