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# About: Systems of Linear Equations: Elimination by Substitution

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: Copyright Holders: Maintainers: Latest version: 1.4 (history) First publication date: Mar 23, 2009 1:35 am -0500 Last revision to module: Jun 1, 2009 12:41 pm -0500

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## Version History

 Version: 1.4 Jun 1, 2009 12:41 pm -0500 by Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 6:05 am -0500 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 4:37 am -0500 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 7:47 am -0500 by 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/>.