<?xml version="1.0" encoding="utf-8"?>
<exampleSet xmlns="http://eteach.engr.wisc.edu/schemas/examples-v1p0"
            xmlns:misc="http://engage.doit.wisc.edu/schemas/eteach-misc-v1p0"   
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
  xmlns:xhtml="http://www.w3.org/1999/xhtml"
  xsi:schemaLocation="http://eteach.engr.wisc.edu/schemas/examples-v1p0 file:/C:/Documents%20and%20Settings/mike/My%20Documents/Visual%20Studio%202005/Projects/SamplePages/Installer/Resources/ExampleSchema.xsd">
  <header>Examples:</header>
  <example>
    <text>
      <xhtml:p>Find the unique values of variables a and b.</xhtml:p>
      <xhtml:code>
        15*a + 3*b=124.5<xhtml:br/>6*a + 8*b=77<xhtml:br/>
      </xhtml:code>
    </text>
    <commentary>
      
      <xhtml:p>
        <xhtml:img src="example1sol.gif" alt="Solution" />
    </xhtml:p>
    </commentary>
  </example>
  <example>
    <text>
      <xhtml:p>Find the unique values of variables a and b.</xhtml:p>
      <xhtml:code>
        3a - 2b = 4.5<xhtml:br/>a + b = 5.5<xhtml:br/>
      </xhtml:code>
    </text>
    <commentary>

      <xhtml:p>
        Equation one plus two times equal two yields
        <math display='block' xmlns='http://www.w3.org/1998/Math/MathML'>
          <semantics>
            <mrow>
              <mn>3</mn>
              <mi>a</mi>
              <mo>&#x2212;</mo>
              <mn>2</mn>
              <mi>b</mi>
              <mo>+</mo>
              <mn>2</mn>
              <mo stretchy='false'>(</mo>
              <mi>a</mi>
              <mo>+</mo>
              <mi>b</mi>
              <mo stretchy='false'>)</mo>
              <mo>=</mo>
              <mn>4.5</mn>
              <mo>+</mo>
              <mn>2</mn>
              <mo stretchy='false'>(</mo>
              <mn>5.5</mn>
              <mo stretchy='false'>)</mo>
              <munder>
                <mo>&#x2192;</mo>
                <mrow></mrow>
              </munder>
              <mn>5</mn>
              <mi>a</mi>
              <mo>=</mo>
              <mn>15.5</mn>
              <munder>
                <mo>&#x2192;</mo>
                <mrow></mrow>
              </munder>
              <mi>a</mi>
              <mo>=</mo>
              <mn>3.1</mn>
            </mrow>
            <annotation encoding='MathType-MTEF'>
              MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaG4maiaadggacqGHsislcaaIYaGaamOyaiabgUcaRiaaikdacaGGOaGaamyyaiabgUcaRiaadkgacaGGPaGaeyypa0JaaGinaiaac6cacaaI1aGaey4kaSIaaGOmaiaacIcacaaI1aGaaiOlaiaaiwdacaGGPaWaa4akaSqabeaaaOGaayPKHaGaaGynaiaadggacqGH9aqpcaaIXaGaaGynaiaac6cacaaI1aWaa4akaSqabeaaaOGaayPKHaGaamyyaiabg2da9iaaiodacaGGUaGaaGymaaaa@5506@
            </annotation>
          </semantics>
        </math>
        <misc:mathAltImage>
          <misc:alt/>
          <misc:href>
            example2sol.gif
          </misc:href>
        </misc:mathAltImage>

Plugging the value for a into either equation yields the result b=2.4.
       
      </xhtml:p>
    </commentary>
  </example>
  
  
  
  
    
</exampleSet>
