Solving Systems of Equations by Graphing pt 2
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Lesson Summary:
In this lesson, we learn how to solve systems of equations by graphing using different methods like X and Y intercepts and slope intercepts. We see how to identify inconsistent and dependent systems and how to determine the solution in each case. It's crucial to be accurate while graphing to avoid errors while finding solutions, and it's always recommended to check the order pair solution in each of the original equations before we proceed.
Lesson Description:
Part 4 of Solving Linear Systems of Equations with 2 variables. Includes examples using the Graphing Method, including special cases.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you solve systems of linear equations by graphing?
- How do you find the intersection of two lines by graphing them?
- How do you find the solution to a system of equations by graphing?
- How can you find the solution to x - y = 4 and y = x - 1 by graphing?
- What are special cases of systems of equations?
- What happens if you graph two lines and they are parallel and do not cross?
- What is an inconsistent system?
- When are there no solutions or infinitely many solutions to a system of equations?
- How can you solve the system x = 1 and y = 2x - 3 by graphing?
- What are the three possibilities when you graph systems of equations?
- How can you check your solution to a system of equations?
- How can you solve the system x - y = 2 and y = x - 2 by graphing?
- What is a dependent system?
- What happens if you graph two lines and they are the same line?
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Staff Review
This lesson does 3 example problems of solving systems of equations. Each example problem is a different case - one system has one solution, one has no solution, and one has infinitely many solutions. This is a perfect video to see the different possible cases.
