### Graphing Systems of Equations

A

*system of equations*is two equations in two variables. A*solution*consists of values for each unknown that satisfy both equations.A system can have one, infinite, or no solutions.

The system is called

*independent*if it has one solution. In this case, the graphs of the two equations intersect at one point.It is called

*dependent*if it has infinitely many solutions. In this case, the graphs are the same line.It is called

*inconsistent*if it has no solution. In this case, the graphs are parallel.You can solve a system by graphing. Always check your solutions to be sure you have read the graph accurately.

Use the method of graphing when you are willing to settle for an estimate for the solution.

### Graphing Systems of Equations

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.

- Intro 0:00
- System of Equations 0:09
- Definition
- Solution
- Solving by Graphing 1:27
- Example
- Number of Solutions 3:37
- Independent
- Dependent
- Inconsistent
- Example: 1 Solution
- Example: No Solution
- Example: Infinite Solution
- Lecture Example 1 5:39
- Lecture Example 2 8:51
- Additional Example 3
- Additional Example 4

3 answers

Last reply by: Roman Kozulin

Wed Aug 8, 2012 6:19 AM

Post by Nancy Dempsey on March 8, 2011

I don't like the way you teach. you shouldn't be taking shorcuts because is confusing specially for beginners like me. you should be doing all the process.