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Section 9.1 Solving Linear Systems by Graphing

Section 9.1 Solving Linear Systems by Graphing. This PowerPoint and worksheet are intended to provide a quick review of solving systems of equations by graphing. The solution appears to be (1, 3). We must verify this answer in both equations. Example 1. Solve this system by graphing.

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Section 9.1 Solving Linear Systems by Graphing

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  1. Section 9.1Solving Linear Systems by Graphing This PowerPoint and worksheet are intended to provide a quick review of solving systems of equations by graphing.

  2. The solution appears to be (1, 3). We must verify this answer in both equations. Example 1. Solve this system by graphing.

  3. Strategy for Solving a Linear System by Graphing • Graph the first equation. • Graph the second equation on the same graph. • Read the coordinates of the intersection of the two graphs. • Check the solution in both equations.

  4. The solution appears to be (0, -4). We must verify this answer in both equations. Example

  5. The lines appear to be collinear. There are an infinitely many solutions. Example

  6. The lines appear to be parallel. There is no intersection. HW Page 198 #28

  7. The solution appears to be (3, -1). We must verify this answer in both equations. 1. Solve this system by graphing.

  8. The solution appears to be (4, 2). We must verify this answer in both equations. 2. Solve this system by graphing.

  9. The solution appears to be (4, 5). We must verify this answer in both equations. 3. Solve this system by graphing.

  10. The solution appears to be (0, -4). We must verify this answer in both equations. 4. Solve this system by graphing.

  11. The lines appear to be parallel. They will never intersect. 5. Solve this system by graphing.

  12. The solution appears to be (2, 4). We must verify this answer in both equations. 6. Solve this system by graphing.

  13. Getting Ready for Class • What is a system of two equations in two variables? • What is the solution to a system of linear equations? • How do we solve a system of linear equations by graphing? • Under what conditions will a system of linear equations not have a solution?

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