document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314901>Question 314901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two questions. solve the equation.<BR>\n" );
document.write( "1/x+7  +  5/x+6  = -1/x^2+13x+42.  The second one is 9/y+2  -  3/y-2 = 12/y^2-4.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225239 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For future reference, don't be shy about using parentheses especially with complicated fraction expressions. <BR>\n" );
document.write( "I think you mean like this,<BR>\n" );
document.write( "1/(x+7)  +  5/(x+6)  = -1/(x^2+13x+42)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B7%29++%2B++5%2F%28x%2B6%29++=+-1%2F%28x%5E2%2B13x%2B42%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B7%29++%2B++5%2F%28x%2B6%29++=+-1%2F%28x%5E2%2B13x%2B42%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B7%29++%2B++5%2F%28x%2B6%29++=+-1%2F%28%28x%2B7%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B7%29++%2B++5%2F%28x%2B6%29++=+-1%2F%28%28x%2B7%29%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28x%2B6%29%2B5%28x%2B7%29=-1 ALIGN=MIDDLE  ALT=\"1%28x%2B6%29%2B5%28x%2B7%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B6%2B5x%2B35=-1 ALIGN=MIDDLE  ALT=\"x%2B6%2B5x%2B35=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B41=-1 ALIGN=MIDDLE  ALT=\"6x%2B41=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x=-42 ALIGN=MIDDLE  ALT=\"6x=-42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7 ALIGN=MIDDLE  ALT=\"x=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "However, one of the implicit assumptions we made was that x did not equal -6 and -7 which would cause a division by zero. <BR>\n" );
document.write( "So there is no solution. <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28y%2B2%29-3%2F%28y-2%29=12%2F%28y%5E2-4%29 ALIGN=MIDDLE  ALT=\"9%2F%28y%2B2%29-3%2F%28y-2%29=12%2F%28y%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28y%2B2%29-3%2F%28y-2%29=12%2F%28%28y%2B2%29%28y-2%29%29 ALIGN=MIDDLE  ALT=\"9%2F%28y%2B2%29-3%2F%28y-2%29=12%2F%28%28y%2B2%29%28y-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28y-2%29-3%28y%2B2%29=12 ALIGN=MIDDLE  ALT=\"9%28y-2%29-3%28y%2B2%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y-18-3y-6=12 ALIGN=MIDDLE  ALT=\"9y-18-3y-6=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y-24=12 ALIGN=MIDDLE  ALT=\"6y-24=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=36 ALIGN=MIDDLE  ALT=\"6y=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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