When we use the graphing method, we need to have very accurate graphs. Because accurate graphs can be difficult, we want to use more algebraic methods when finding solutions. Two excellent algebraic methods are substitution and elimination. In the substitution method, we use one equation of the system and solve it for one of the variables. After completing all the steps, check your solution. If the system has only one solution, the method will find the x and y-values that work. However, we will see what happens when the system has no solutions or has an infinite amount of solutions.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Solving a System Using Substitution
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.