Lesson: Solving Systems of Linear Equations Graphically Mathematics • 8th Grade

Students will be able to

• understand that the solution set of a system of equations is graphically represented by the point or points at which the lines intersect,
• understand the possible solution cases when solving a system of linear equations, particularly that
  • an independent system of linear equations (nonparallel lines) has one solution,
  • a dependent system of linear equations (coincident lines) has an infinite number of solutions,
  • an inconsistent system of linear equations (parallel lines) has no solution,
• identify how many solutions a system of linear equations has when given the graph of the system,
• find the solutions to a system of linear equations when given the graph of the system, the graph and the two equations, the graph only, or the two equations only (by constructing a graph),
• find the appropriate range or ranges of the solutions to a system of linear equations when solving graphically.