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Module by: Wade Ellis, Denny Burzynski. E-mail the authors

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Name: Systems of Linear Equations: Elimination by Substitution
ID: m21984
Language: English (en)
Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. Beginning with the graphical solution of systems, this chapter includes an interpretation of independent, inconsistent, and dependent systems and examples to illustrate the applications for these systems. The substitution method and the addition method of solving a system by elimination are explained, noting when to use each method. The five-step method is again used to illustrate the solutions of value and rate problems (coin and mixture problems), using drawings that correspond to the actual situation. Objectives of this module: know when the substitution method works best, be able to use the substitution method to solve a system of linear equations, know what to expect when using substitution with a system that consists of parallel lines.
Subject: Mathematics and Statistics
Keywords: algebra, elementary, substitution
License: Creative Commons Attribution License CC-BY 3.0

Authors: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Copyright Holders: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu)
Maintainers: Wade Ellis (fgafaculty@gmail.com), Denny Burzynski (dcwill@rice.edu), LearningMate LearningMate (abhijit.chaturvedi@learningmate.com), Matt Gardner (mgardner@wordsandnumbers.com)

Latest version: 1.4 (history)
First publication date: Mar 23, 2009 1:35 am +0000
Last revision to module: Jun 1, 2009 12:41 pm +0000

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Version History

Version: 1.4 Jun 1, 2009 12:41 pm +0000 by Connexions
Changes:
Removed link from summary.

Version: 1.3 May 27, 2009 6:05 am +0000 by LearningMate LearningMate
Changes:
Final Publish.

Version: 1.2 Apr 28, 2009 4:37 am +0000 by LearningMate LearningMate
Changes:
Dynamic Links added

Version: 1.1 Apr 16, 2009 7:47 am +0000 by LearningMate LearningMate
Changes:
First Publish.

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American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Systems of Linear Equations: Elimination by Substitution, OpenStax_CNX Web site. http://cnx.org/content/m21984/1.4/, Jun 1, 2009.

American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Systems of Linear Equations: Elimination by Substitution [OpenStax_CNX Web site]. June 1, 2009. Available at: http://cnx.org/content/m21984/1.4/.

American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, June 1). Systems of Linear Equations: Elimination by Substitution. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m21984/1.4/

Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Systems of Linear Equations: Elimination by Substitution." OpenStax_CNX. June 1, 2009. http://cnx.org/content/m21984/1.4/.

Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Systems of Linear Equations: Elimination by Substitution," OpenStax_CNX, June 1, 2009, http://cnx.org/content/m21984/1.4/.

Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2009. Systems of Linear Equations: Elimination by Substitution. OpenStax_CNX, June 1, 2009. http://cnx.org/content/m21984/1.4/.

Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Systems of Linear Equations: Elimination by Substitution. OpenStax_CNX. 1 June 2009 <http://cnx.org/content/m21984/1.4/>.