document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318042>Question 318042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve with the elimination method<BR>\n" );
document.write( "3x-6y=4<BR>\n" );
document.write( "3x-6y=5<BR>\n" );
document.write( "The solution is an ordered pair; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227743 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=227743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Start with the given system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x-6y=4%2C3x-6y=5%29 ALIGN=MIDDLE  ALT=\"system%283x-6y=4%2C3x-6y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%283x-6y%29=-1%285%29 ALIGN=MIDDLE  ALT=\"-1%283x-6y%29=-1%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the second equation by -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B6y=-5 ALIGN=MIDDLE  ALT=\"-3x%2B6y=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "So we have the new system of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x-6y=4%2C-3x%2B6y=-5%29 ALIGN=MIDDLE  ALT=\"system%283x-6y=4%2C-3x%2B6y=-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-6y%29%2B%28-3x%2B6y%29=%284%29%2B%28-5%29 ALIGN=MIDDLE  ALT=\"%283x-6y%29%2B%28-3x%2B6y%29=%284%29%2B%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B-3x%29%2B%28-6y%2B6y%29=4%2B-5 ALIGN=MIDDLE  ALT=\"%283x%2B-3x%29%2B%28-6y%2B6y%29=4%2B-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x%2B0y=-1 ALIGN=MIDDLE  ALT=\"0x%2B0y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-1 ALIGN=MIDDLE  ALT=\"0=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >Simplify.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-1 ALIGN=MIDDLE  ALT=\"0=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=\"4\"><b>NEVER</b></font> true, this means that there are no solutions. \r<BR>\n" );
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document.write( "So the system is inconsistent.<BR>\n" );
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