In this first lecture of Systems of Equations and Inequalities, Dr. Eaton covers Solving Systems of Equations by Graphing. After a brief overview of systems of equations and how to solve by graphing by finding the points of intersections, your instructor covers the three types of systems. These systems include independent with a single solution, dependent with infinite solutions, and inconsistent with no solutions. You will test your knowledge with the four examples at the end.
You can solve a system of equations by graphing the equations and finding the point of intersection of the two graphs.
If the graphs are parallel lines, there is no point of intersection and no solution to the system.
If the graphs are the same lines, the system has an infinite number of solutions.
If the graphs intersect at one point, the system has a unique solution.
Solving Systems of Equations by Graphing
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.