document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767482>Question 767482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/3x - 1/4y + z    = -9<BR>\n" );
document.write( "1/2x - 1/3y - 1/4z = -6<BR>\n" );
document.write( "   x - 1/2y - z    = -8\r<BR>\n" );
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document.write( "I tried multiplying the 1st two by 12 and third by 2 and also tried all three by 12, I think I am missing something when I try to solve it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467644 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29x+-+%281%2F4%29y+%2B+z+=+-9 ALIGN=MIDDLE  ALT=\"%281%2F3%29x+-+%281%2F4%29y+%2B+z+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1.....multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x+-+%281%2F3%29y+-+%281%2F4%29z+=+-6 ALIGN=MIDDLE  ALT=\"%281%2F2%29x+-+%281%2F3%29y+-+%281%2F4%29z+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2....multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+%281%2F2%29y+-+z+=+-8 ALIGN=MIDDLE  ALT=\"x+-+%281%2F2%29y+-+z+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3....multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "_________________________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%281%2F3%29x+-+12%281%2F4%29y+%2B+12z+=+-9%2A12 ALIGN=MIDDLE  ALT=\"12%281%2F3%29x+-+12%281%2F4%29y+%2B+12z+=+-9%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%281%2F2%29x+-+12%281%2F3%29y+-+12%281%2F4%29z+=+-6%2A12 ALIGN=MIDDLE  ALT=\"12%281%2F2%29x+-+12%281%2F3%29y+-+12%281%2F4%29z+=+-6%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+2%281%2F2%29y+-+2z+=+-8%2A2 ALIGN=MIDDLE  ALT=\"2x+-+2%281%2F2%29y+-+2z+=+-8%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3<BR>\n" );
document.write( "__________________________________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+3y+%2B+12z+=+-108 ALIGN=MIDDLE  ALT=\"4x+-+3y+%2B+12z+=+-108\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+4y+-+3z+=+-72 ALIGN=MIDDLE  ALT=\"6x+-+4y+-+3z+=+-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+y+-+2z+=+-16 ALIGN=MIDDLE  ALT=\"2x+-+y+-+2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3<BR>\n" );
document.write( "______________________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+4y+-+3z+=+-72 ALIGN=MIDDLE  ALT=\"6x+-+4y+-+3z+=+-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+y+-+2z+=+-16 ALIGN=MIDDLE  ALT=\"2x+-+y+-+2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3....multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "______________________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+4y+-+3z+=+-72 ALIGN=MIDDLE  ALT=\"6x+-+4y+-+3z+=+-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+3y+-+6z+=+-48 ALIGN=MIDDLE  ALT=\"6x+-+3y+-+6z+=+-48\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3......subtract eq.3 from eq.2<BR>\n" );
document.write( "_______________________________\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-6x+-+4y-%28-3y%29+-+3z-%28-6z%29+=+-72-%28-48%29 ALIGN=MIDDLE  ALT=\"6x-6x+-+4y-%28-3y%29+-+3z-%28-6z%29+=+-72-%28-48%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=-+4y%2B3y+-+3z%2B6z+=+-72%2B48 ALIGN=MIDDLE  ALT=\"-+4y%2B3y+-+3z%2B6z+=+-72%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y%2B3z+=+-24 ALIGN=MIDDLE  ALT=\"-y%2B3z+=+-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B3z+=+y ALIGN=MIDDLE  ALT=\"24%2B3z+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....plug in eq.1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+3%2824%2B3z%29+%2B+12z+=+-108 ALIGN=MIDDLE  ALT=\"4x+-+3%2824%2B3z%29+%2B+12z+=+-108\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+-+72-9z+%2B+12z+=+-108 ALIGN=MIDDLE  ALT=\"4x+-+72-9z+%2B+12z+=+-108\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x++%2B+3z+=+-108%2B72 ALIGN=MIDDLE  ALT=\"4x++%2B+3z+=+-108%2B72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x++%2B+3z+=+-36 ALIGN=MIDDLE  ALT=\"4x++%2B+3z+=+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >......solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x=+-3z-36 ALIGN=MIDDLE  ALT=\"+4x=+-3z-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-%283%2F4%29z-9 ALIGN=MIDDLE  ALT=\"+x+=+-%283%2F4%29z-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........go to eq.3 and plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+y+-+2z+=+-16 ALIGN=MIDDLE  ALT=\"2x+-+y+-+2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............eq.3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-%283%2F4%29z-9%29+-+%2824%2B3z+%29-+2z+=+-16 ALIGN=MIDDLE  ALT=\"2%28-%283%2F4%29z-9%29+-+%2824%2B3z+%29-+2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F2%29z-18+-+24-3z+-+2z+=+-16 ALIGN=MIDDLE  ALT=\"-%283%2F2%29z-18+-+24-3z+-+2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >...all terms multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%283%2F2%29z-18%2A2+-+24%2A2-5%2A2z+=+-16%2A2 ALIGN=MIDDLE  ALT=\"-2%283%2F2%29z-18%2A2+-+24%2A2-5%2A2z+=+-16%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3z-36-+48-10z+=+-32 ALIGN=MIDDLE  ALT=\"-3z-36-+48-10z+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32-36-+48+=+3z%2B10z ALIGN=MIDDLE  ALT=\"32-36-+48+=+3z%2B10z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32-84+=13z ALIGN=MIDDLE  ALT=\"32-84+=13z\"   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=-52+=13z ALIGN=MIDDLE  ALT=\"-52+=13z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-52%2F13=z ALIGN=MIDDLE  ALT=\"-52%2F13=z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=-4%29 ALIGN=MIDDLE  ALT=\"highlight%28z=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........now we can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=+x+=+-%283%2F4%29z-9 ALIGN=MIDDLE  ALT=\"+x+=+-%283%2F4%29z-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-%283%2F4%29%28-4%29-9 ALIGN=MIDDLE  ALT=\"+x+=+-%283%2F4%29%28-4%29-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3-9 ALIGN=MIDDLE  ALT=\"+x+=+3-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28x+=+-6%29 ALIGN=MIDDLE  ALT=\"+highlight%28x+=+-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24%2B3z+ ALIGN=MIDDLE  ALT=\"y=24%2B3z+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24%2B3%28-4%29+ ALIGN=MIDDLE  ALT=\"y=24%2B3%28-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=24-12+ ALIGN=MIDDLE  ALT=\"y=24-12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=12%29+ ALIGN=MIDDLE  ALT=\"highlight%28y=12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );