document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44653>Question 44653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> elimination method\r<BR>\n" );
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document.write( "2x/3 + 3y/4 =11/12<BR>\n" );
document.write( "x/3 + 7y/18 =1/2\r<BR>\n" );
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document.write( "wouldn't 12 be the common denominator in the first equation<BR>\n" );
document.write( "help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29540 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are right about 12 being the common denominator for the first equation.<BR>\n" );
document.write( "My working is shown below. Hopefully this example will help you in future questions of this type:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F3+%2B+3y%2F4+=11%2F12 ALIGN=MIDDLE  ALT=\"2x%2F3+%2B+3y%2F4+=11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2F12+%2B+9y%2F12+=11%2F12 ALIGN=MIDDLE  ALT=\"8x%2F12+%2B+9y%2F12+=11%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange to give y in terms of x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%2F12+=%2811-8x%29%2F12 ALIGN=MIDDLE  ALT=\"9y%2F12+=%2811-8x%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y+=%2811-8x%29 ALIGN=MIDDLE  ALT=\"9y+=%2811-8x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=%2811-8x%29%2F9 ALIGN=MIDDLE  ALT=\"y+=%2811-8x%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ......................(1)<BR>\n" );
document.write( "Now the second part:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3+%2B+7y%2F18+=1%2F2+ ALIGN=MIDDLE  ALT=\"x%2F3+%2B+7y%2F18+=1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............................(2)<BR>\n" );
document.write( "Substituite equation (1) into equation (2) for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3+%2B+7%2811-8x%29%2F%2818%2A9%29+=1%2F2 ALIGN=MIDDLE  ALT=\"x%2F3+%2B+7%2811-8x%29%2F%2818%2A9%29+=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3+%2B+%2877-56x%29%2F%28162%29+=1%2F2 ALIGN=MIDDLE  ALT=\"x%2F3+%2B+%2877-56x%29%2F%28162%29+=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange to give x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B77%2F162-56%2F162=1%2F2 ALIGN=MIDDLE  ALT=\"x%2F3%2B77%2F162-56%2F162=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange to give x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3%2B21%2F162=1%2F2 ALIGN=MIDDLE  ALT=\"x%2F3%2B21%2F162=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3=1%2F2-21%2F162 ALIGN=MIDDLE  ALT=\"x%2F3=1%2F2-21%2F162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3=81%2F162-21%2F162 ALIGN=MIDDLE  ALT=\"x%2F3=81%2F162-21%2F162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F3=60%2F162 ALIGN=MIDDLE  ALT=\"x%2F3=60%2F162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=180%2F162 ALIGN=MIDDLE  ALT=\"x=180%2F162\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10%2F9 ALIGN=MIDDLE  ALT=\"x=10%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.................................(3)<BR>\n" );
document.write( "Substitute equation (3) into equation (1) to find y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=%2811-8%2810%2F9%29%29%2F9 ALIGN=MIDDLE  ALT=\"y+=%2811-8%2810%2F9%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=%2811-80%2F9%29%2F9 ALIGN=MIDDLE  ALT=\"y+=%2811-80%2F9%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=19%2F81 ALIGN=MIDDLE  ALT=\"y=19%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the solution to the two original equations is x=10/9 and y=19/81.\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk<BR>\n" );
document.write( "Adam\r<BR>\n" );
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