Solving Systems of Linear Equations Graphically: Solving Systems of Linear Equations Graphically By: Ms. Renteria
Systems of Equations: Systems of Equations What is a system of equations? A collection of two or more equations with the same unknowns that work together. Examples of Systems:
Which of the following are systems of equations?: 1. 2. 3. Which of the following are systems of equations?
What does the solution represent?: What does the solution represent? The solution of a system of linear equations will be in the form of an ordered pair. For example: (x,y). Represent the point of intersection. The point that is a solution to both equations. ie: makes both equations true
Try it yourself!: Try it yourself! Just by looking at this graph what is the solution? The solution is… ( , )
Solving by Graphing: Solving by Graphing Find the solution to: Things to Consider: Is this a system of equations? Can I graph a linear equation? Do I know what the solution of a system looks like?
Let’s Watch : Let’s Watch www.shmoop.com/video/solving-systems-of-equations-by-graphing
Example:: Example: Solve the following system: Hint: We want the equations in point-intercept form.
Think about it…: Think about it… With your elbow partners discuss what you think about the following questions. Will we always have a solution to a system of equations? Can you have more than one solution?
Let’s Explore:: Let’s Explore: Graph and find solution(s) if possible.
Did we need to see/hear the last example again?: Did we need to see/hear the last example again? 3 types of solutions: video
Reflection: Reflection Now that you have all learned how we can find the solution of a system of equations graphically, I want to know how you feel. At the bottom of your notes write a small paragraph (4-5 sentences) about today’s lecture. It can be a summary of what you learned or concerns about the material. Some sentence starters you can use: What I liked about today’s lesson is… What I disliked about today’s lesson… I am still confused on… Today I learned…