document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274297>Question 274297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I'm trying to solve 2xy+5x-2y-5 over 3xy+4x-3y-4. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200198 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Then you have an extraordinarily difficult task ahead of you, one for which I cannot provide any assistance nor can anyone else.  The problem is you cannot \"solve\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2xy\ +\ 5x\ -\ 2y\ -\ 5}{3xy\ +\ 4x\ -\ 3y\ -\ 4}\">\r<BR>\n" );
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document.write( "You cannot solve anything that does not have an equals sign or some sort of relational operator.\r<BR>\n" );
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document.write( "It is a rather complex rational expression that can be <b><i>simplified</i></b>.  If that is what you meant, then follow along:\r<BR>\n" );
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document.write( "Start with the numerator polynomial.  Factor an <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> out of the first two terms and factor a -1 out of the last two terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x\left(2y\ +\ 5\right)\ -\ 1\left(2y\ +\ 5\right)}{3xy\ +\ 4x\ -\ 3y\ -\ 4}\">\r<BR>\n" );
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document.write( "Next, factor <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2y\ +\ 5\"> from the two terms that remain:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\left(x\ -\ 1\right)\left(2y\ +\ 5\right)}{3xy\ +\ 4x\ -\ 3y\ -\ 4}\">\r<BR>\n" );
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document.write( "Next work on the denominator.  Use a similar strategy, factoring <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> out of the first two terms and -1 out of the last two terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\left(x\ -\ 1\right)\left(2y\ +\ 5\right)}{x\left(3y\ +\ 4\right)\ -\ 1\left(3y\ +\ 4\right)}\">\r<BR>\n" );
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document.write( "And then factoring <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3y\ +\ 4\"> from the two terms that remain:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\left(x\ -\ 1\right)\left(2y\ +\ 5\right)}{\left(x\ -\ 1\right)\left(3y\ +\ 4\right)}\">\r<BR>\n" );
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document.write( "Eliminate the factor of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ -\ 1\"> that is common to both numerator and denominator leaving you with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{2y\ +\ 5}{3y\ +\ 4}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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