This document summarizes three methods for solving systems of linear equations: graphing, substitution, and elimination. It provides examples of solving systems of two equations using each method. Graphing involves plotting the lines defined by each equation on a coordinate plane and finding their point of intersection. Substitution involves isolating a variable in one equation and substituting it into the other equation. Elimination involves adding or subtracting multiples of equations to remove a variable and solve for the remaining variable.

1. Solving Linear Equations Using Graphing Substitution and Elimination Need some homework help? Go to: http://go.hrw.com Keyword: MA1 Homework Help

9. y = x + 1 y-intercept

10. Let’s add y = -x + 5 The slope is -1. Or down one And right one.

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. End of Part One

19. Part Two – Solve linear equations by substitution Need Help? Go online to go.hrw.com See your textbook’s “internet connect” notes

31. Part Three – Solving equations by Elimination Need some homework help? Go to: http:// go.hrw.com Keyword: MA1 Homework Help

48. You have reviewed the first three parts of Chapter 7.