Method of Substitution

Abstract

When a system of equations is graphed, the solutions are the points where the graphs of the equations intersect. If the graphs never intersect, such as parallel lines, the system has no solution because there are no intersection points. If the graphs are the same, the system has infinitely many solutions because the graphs intersect at every point. We will not cover how to solve systems of equations graphically in this class, but thinking about the solutions from a graphical standpoint can help to make more sense of them. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2