1 / 7

Notes 7.1 Linear & Nonlinear Systems of Equations

Notes 7.1 Linear & Nonlinear Systems of Equations. The solution to a system of equations is the set of points which satisfy ALL the equations in the system. What does a solution look like graphically? Example: p. 503 #7:. Suppose we wish to solve a system algebraically. A good method is

zuwena
Télécharger la présentation

Notes 7.1 Linear & Nonlinear Systems of Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Notes 7.1Linear & NonlinearSystems of Equations

  2. The solution to a system of equations is the set of points which satisfy ALL the equations in the system. What does a solution look like graphically? Example: p. 503 #7:

  3. Suppose we wish to solve a system algebraically. A good method is SUBSTITUTION: 1. Solve one of the equations for one variable in terms of the other (x = or y = ) 2. Substitute the expression found in step 1 into the other equation. Hooray! We now have an equation with only one variable! 3. Solve your nice one-variable equation you write in step 2 4. Back-substitute your answer from step 3 into the equation you first wrote in step 1 5. Check your answer by substituting these values into BOTH the original equations!!

  4. Does EVERY system have a real solution?

  5. Can a system have more than 1 solution? P. 503 #8

  6. Homework: p. 503 - 506 # 3, 7, 11, 13, 21, 39 43 - 47 (ODD), 61, 63, 69

More Related