Question 1: What are the three ways two lines can be drawn? Which one do we call a "consistent system" and how many solutions are there? Which one do we call an "inconsistent system" and how many solutions are there? Which one do we call "dependent system" and how many solutions are there? Other than graphing (least prefered method for solving systems of linear equations), we summarized 2 other methods for solving systems of linear equations, Substitution and Elimination by Addition. One method is can be used on any type of system and one should be used on only a certain type of system. Question 2: Which method can be solved any system and which method should be used on only certain systems? How do you know when either method could be used? Which example should you use substitution and which example should you use elimination by addition? a) 2x - 3y =-7 b) 3x + 4y = 4 5x + 4y = 17 x - y = 13