# Copyright © 2011 Pearson, Inc. 7.1 Solving Systems of Two Equations.

## Presentation on theme: "Copyright © 2011 Pearson, Inc. 7.1 Solving Systems of Two Equations."— Presentation transcript:

Copyright © 2011 Pearson, Inc. Slide 7.1 - 2 What you’ll learn about The Method of Substitution Solving Systems Graphically The Method of Elimination Applications … and why Many applications in business and science can be modeled using systems of equations.

Copyright © 2011 Pearson, Inc. Slide 7.1 - 3 Solution of a System A solution of a system of two equations in two variables is an ordered pair of real numbers that is a solution of each equation.

Copyright © 2011 Pearson, Inc. Slide 7.1 - 4 Example Using the Substitution Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 5 Example Using the Substitution Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 6 Example Using the Substitution Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 7 Example Solving a Nonlinear System Algebraically

Copyright © 2011 Pearson, Inc. Slide 7.1 - 8 Example Solving a Nonlinear System Algebraically

Copyright © 2011 Pearson, Inc. Slide 7.1 - 9 Example Using the Elimination Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 10 Example Using the Elimination Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 11 Example Using the Elimination Method

Copyright © 2011 Pearson, Inc. Slide 7.1 - 12 Example Finding No Solution

Copyright © 2011 Pearson, Inc. Slide 7.1 - 13 Example Finding No Solution

Copyright © 2011 Pearson, Inc. Slide 7.1 - 14 Example Finding Infinitely Many Solutions

Copyright © 2011 Pearson, Inc. Slide 7.1 - 15 Example Finding Infinitely Many Solutions