5.1 - Solving Systems of Equations

# 5.1 - Solving Systems of Equations -

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<?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>5.1 - Solving Systems of Equations</title> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" /> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> </head> <body> <h1>5.1 - Solving Systems of Equations</h1> <p>Up until this point, we have been dealing with only one equation at a time. Now, we will work with more than variable and more than one equation. These are called systems of equations. When answering a system of equations, you need to give the value for each variable.</p> <h2>Solving Systems of Linear Equations</h2> <p>When we're through covering the two chapters on solving systems of equations, there will be six ways that we can use to solve a system of linear equations </p> <dl> <dt>Graphically</dt> <dd>Graph both equations and find the intersection point.</dd> <dd>Inaccurate by hand.</dd> <dd>Useful when using technology.</dd> <dd>More appropriate for non-linear systems.</dd> <dd>Must solve for the equation for y first.</dd> <dt>Substitution</dt> <dd>Solve one equation for one variable and then substitute that into the other equation.</dd> <dd>Best algebraic technique for non-linear systems.</dd> <dd>Works well when a variable can be solved for easily, has a coefficient

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## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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5.1 - Solving Systems of Equations -

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