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?

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…

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