document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015269>Question 1015269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/x+1/y=3,1/x-1/y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631626 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%281%2Fx%2B1%2Fy=3%2C1%2Fx-1%2Fy=3%29 ALIGN=MIDDLE  ALT=\"system%281%2Fx%2B1%2Fy=3%2C1%2Fx-1%2Fy=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The main thing NOT to do in a system like this is<BR>\n" );
document.write( "to clear of fractions.  DO NOT clear of fractions.<BR>\n" );
document.write( "Leave them as they are and use elimination just as normal.\r<BR>\n" );
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document.write( "If you add the two equations just as they are you get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx=6 ALIGN=MIDDLE  ALT=\"2%2Fx=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Consider the 6 as over 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx=6%2F1 ALIGN=MIDDLE  ALT=\"2%2Fx=6%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cross multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=2 ALIGN=MIDDLE  ALT=\"6x=2\"   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=2%2F6 ALIGN=MIDDLE  ALT=\"x=2%2F6\"   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=1%2F3 ALIGN=MIDDLE  ALT=\"x=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Start over with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%281%2Fx%2B1%2Fy=3%2C1%2Fx-1%2Fy=3%29 ALIGN=MIDDLE  ALT=\"system%281%2Fx%2B1%2Fy=3%2C1%2Fx-1%2Fy=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the 2nd equation through by -1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%281%2Fx%2B1%2Fy=3%2C-1%2Fx%2B1%2Fy=-3%29 ALIGN=MIDDLE  ALT=\"system%281%2Fx%2B1%2Fy=3%2C-1%2Fx%2B1%2Fy=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add them term by term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx=0 ALIGN=MIDDLE  ALT=\"2%2Fx=0\"   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%2Fx=0%2F1 ALIGN=MIDDLE  ALT=\"2%2Fx=0%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0x=2 ALIGN=MIDDLE  ALT=\"0x=2\"   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=cross%282%2F0%29 ALIGN=MIDDLE  ALT=\"x=cross%282%2F0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is meaningless, so there can be no solution.\r<BR>\n" );
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document.write( "Edwin</pre>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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