MTH-100 Lecture : Systems of Equations
Document Summary
Note the two lines cross at (6, 4) 6 and 4 is the only pair of numbers that. Works for both equations (6, 4) is the solution of the system. To solve a system by graphing, graph both equations on the same grid and by inspection, note where the graphs intersect. They will always relate in one of the three ways above. They will cross at one point, they will never cross, or they will lie one on top of the other. Graph the system and determine the nature of the solutions, none, one, or infinitely many. Identify if the system is consistent or inconsistent and if it is independent or dependent. When at least one equation in a system is in slope-intercept form or can easily be rearranged to be in that form, substitution is a convenient way to solve the system. 2 replace the known value for x y y y.
