document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369130>Question 369130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x – y = 8,<BR>\n" );
document.write( "y = 5x + 3<BR>\n" );
document.write( "Solve using the elimination method.<BR>\n" );
document.write( "I dont get this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263032 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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/cgi-bin/show-face.mpl?user=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the two equations into the same standard form: <br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=8 ALIGN=MIDDLE  ALT=\"2x-y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2By=3 ALIGN=MIDDLE  ALT=\"-5x%2By=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Now if you add the two equations up, guess what will happen?<br>\r<BR>\n" );
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document.write( "You will \"eliminate\" the y variable, and only be left with the x variable.<br>\r<BR>\n" );
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document.write( "Technically, you will get:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B%28-5x%29%2By=8%2B3 ALIGN=MIDDLE  ALT=\"2x-y%2B%28-5x%29%2By=8%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B0y=11 ALIGN=MIDDLE  ALT=\"-3x%2B0y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=11 ALIGN=MIDDLE  ALT=\"-3x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-11%2F3 ALIGN=MIDDLE  ALT=\"x=-11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Now we can just substitute this known x value back into either equation and find the y value.<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y=8 ALIGN=MIDDLE  ALT=\"2x-y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28-11%2F3%29-y=8 ALIGN=MIDDLE  ALT=\"2%2A%28-11%2F3%29-y=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22%2F3-8=y ALIGN=MIDDLE  ALT=\"-22%2F3-8=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22%2F3-24%2F3=y ALIGN=MIDDLE  ALT=\"-22%2F3-24%2F3=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-46%2F3 ALIGN=MIDDLE  ALT=\"y=-46%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<b>The solution to this system of equations should be x=-11/3 and y=-46/3 or the point (-11/3,-46/3)</b><br>\r<BR>\n" );
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document.write( "The solution to a system of two linear equations will be a single point, unless the two lines are parallel or the two lines are actually the same line.<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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