# Connexions

##### Sections
You are here: Home » Content » Systems of Linear Equations: Solutions by Graphing

# About: Systems of Linear Equations: Solutions by Graphing

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

View the content: Systems of Linear Equations: Solutions by Graphing

 Name: Systems of Linear Equations: Solutions by Graphing ID: m18881 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: be able to recognize a system of equations and a solution to it, be able to graphically interpret independent, inconsistent, and dependent systems, be able to solve a system of linear equations graphically. Subject: Mathematics and Statistics Keywords: algebra, elementary, graphing License: Creative Commons Attribution License CC-BY 2.0 Authors: Copyright Holders: Maintainers: Latest version: 1.5 (history) First publication date: Dec 8, 2008 5:29 pm -0600 Last revision to module: Jun 1, 2009 12:41 pm -0500

 PDF: m18881_1.5.pdf PDF file, for viewing content offline and printing. Learn more. EPUB: m18881_1.5.epub Electronic publication file, for viewing in handheld devices. Learn more. XML: m18881_1.5.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more. Source Export ZIP: m18881_1.5.zip ZIP containing the module XML plus any included media files. Can be reimported in the editing interface. Learn more. Offline ZIP: m18881_1.5_offline.zip An offline HTML copy of the content. Also includes XML, included media files, and other support files. Learn more.

## Version History

 Version: 1.5 Jun 1, 2009 12:41 pm -0500 by Changes: `Removed link from summary.` Version: 1.4 May 27, 2009 6:05 am -0500 by Changes: `Final Publish.` Version: 1.3 Apr 29, 2009 11:33 am -0500 by Changes: ```administrative publish ``` Version: 1.2 Apr 29, 2009 10:15 am -0500 by Changes: `administrative publish` Version: 1.1 Dec 12, 2008 2:03 pm -0600 by Changes: `none`

## How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 2.0), you must include

• the authors' names: Wade Ellis, Denny Burzynski
• the title of the work: Systems of Linear Equations: Solutions by Graphing
• the Connexions URL where the work can be found: http://cnx.org/content/m18881/1.5/

See the citation section below for examples you can copy.

## How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 2.0) of this work:

### American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Systems of Linear Equations: Solutions by Graphing, Connexions Web site. http://cnx.org/content/m18881/1.5/, Jun 1, 2009.

### American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Systems of Linear Equations: Solutions by Graphing [Connexions Web site]. June 1, 2009. Available at: http://cnx.org/content/m18881/1.5/.

### American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, June 1). Systems of Linear Equations: Solutions by Graphing. Retrieved from the Connexions Web site: http://cnx.org/content/m18881/1.5/

### Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Systems of Linear Equations: Solutions by Graphing." Connexions. June 1, 2009. http://cnx.org/content/m18881/1.5/.

### Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Systems of Linear Equations: Solutions by Graphing," Connexions, June 1, 2009, http://cnx.org/content/m18881/1.5/.

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

Ellis, W., & Burzynski, D. 2009. Systems of Linear Equations: Solutions by Graphing. Connexions, June 1, 2009. http://cnx.org/content/m18881/1.5/.

### Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Systems of Linear Equations: Solutions by Graphing. Connexions. 1 June 2009 <http://cnx.org/content/m18881/1.5/>.