document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177434>Question 177434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with eliminations please. I have to find out what x or y is to get the other variable. The problem is 18x-18y=0<BR>\n" );
document.write( "                               12x-12y=-12<BR>\n" );
document.write( "I've tried multiplying the top by 12 and the bottom by 12 and i've also tried multiplying the top by 18 and then trying to solve it but both times I still have 2 variables left. How do I use eliminations when if I multiply it I will get the same on both sides and sometimes on top and bottom?<BR>\n" );
document.write( "Thank you for helping me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132509 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=132509\">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%2818x-18y=0%2C12x-12y=-12%29 ALIGN=MIDDLE  ALT=\"system%2818x-18y=0%2C12x-12y=-12%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=2%2818x-18y%29=2%280%29 ALIGN=MIDDLE  ALT=\"2%2818x-18y%29=2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the first equation by 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x-36y=0 ALIGN=MIDDLE  ALT=\"36x-36y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2812x-12y%29=-3%28-12%29 ALIGN=MIDDLE  ALT=\"-3%2812x-12y%29=-3%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the both sides of the second equation by -3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36x%2B36y=36 ALIGN=MIDDLE  ALT=\"-36x%2B36y=36\"   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%2836x-36y=0%2C-36x%2B36y=36%29 ALIGN=MIDDLE  ALT=\"system%2836x-36y=0%2C-36x%2B36y=36%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=%2836x-36y%29%2B%28-36x%2B36y%29=%280%29%2B%2836%29 ALIGN=MIDDLE  ALT=\"%2836x-36y%29%2B%28-36x%2B36y%29=%280%29%2B%2836%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=%2836x%2B-36x%29%2B%28-36y%2B36y%29=0%2B36 ALIGN=MIDDLE  ALT=\"%2836x%2B-36x%29%2B%28-36y%2B36y%29=0%2B36\"   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=36 ALIGN=MIDDLE  ALT=\"0x%2B0y=36\"   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=36 ALIGN=MIDDLE  ALT=\"0=36\"   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=36 ALIGN=MIDDLE  ALT=\"0=36\"   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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