document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126455>Question 126455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x-2y=4  x+2y=12 graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92652 by </B><A HREF=/tutors/aboutme.mpl?userid=JessicaGill><B>JessicaGill(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JessicaGill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, convert both of the equations to slope-intercept form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "M being the slope and b being the y intercept (0,b)\r<BR>\n" );
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document.write( "First equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y=4 ALIGN=MIDDLE  ALT=\"x-2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 2y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%2B27=4%2B2y ALIGN=MIDDLE  ALT=\"x-2y%2B27=4%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2y%2B4 ALIGN=MIDDLE  ALT=\"x=2y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next subtract 4 from each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=2y%2B4-4 ALIGN=MIDDLE  ALT=\"x-4=2y%2B4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=2y ALIGN=MIDDLE  ALT=\"x-4=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide each side by 2 to isolate the y variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2-4%2F2=2y%2F2 ALIGN=MIDDLE  ALT=\"x%2F2-4%2F2=2y%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x-2=y ALIGN=MIDDLE  ALT=\"%281%2F2%29x-2=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now repeat the process for the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=12 ALIGN=MIDDLE  ALT=\"x%2B2y=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-x%2B2y=12-x ALIGN=MIDDLE  ALT=\"x-x%2B2y=12-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-x%2B12 ALIGN=MIDDLE  ALT=\"2y=-x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide both sides by 2 to isolate the y variable<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%2F2=-x%2F2%2B12%2F2 ALIGN=MIDDLE  ALT=\"2y%2F2=-x%2F2%2B12%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-1%2F2%29x%2B6 ALIGN=MIDDLE  ALT=\"y=%28-1%2F2%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that both equations are in Slope-intercept form, graph the y intercept of each and use the slope to graph a second point.  Compare the graphs of the two equations.  Note that they intersect at one point only.  This means that the 2 equations have one unique solution and are classified as independent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+y=%28-1%2F2%29x%2B6%2C+%281%2F2%29x-2=y+%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C+y=%28-1%2F2%29x%2B6%2C+%281%2F2%29x-2=y+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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