Lesson: Solving Systems of Equations Graphically Mathematics

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 that arise when solving a linear–quadratic system of equations by using the discriminant, specifically,
  • if , then the system has two solutions,
  • if , then the system has one solution,
  • if , then the system has no solution,
• draw the graphs for systems of two linear equations or one linear and one quadratic equation, solve them by finding the points of intersection, and verify the solutions using substitution,
• solve real-world applications of systems of equations.