document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970352>Question 970352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4m%5E2%2B9n%5E2=1+ ALIGN=MIDDLE  ALT=\"+4m%5E2%2B9n%5E2=1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282m-3n%29%5E2=13+ ALIGN=MIDDLE  ALT=\"+%282m-3n%29%5E2=13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, what is the value of mn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592997 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=592997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Step 1) Expand out the second equation using the distributive property or FOIL. \r<BR>\n" );
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document.write( "Step 2) Use the first equation to simplify. \r<BR>\n" );
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document.write( "Step 3) Isolate mn.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282m-3n%29%5E2=13+ ALIGN=MIDDLE  ALT=\"+%282m-3n%29%5E2=13+\"   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=+%282m-3n%29%282m-3n%29=13+ ALIGN=MIDDLE  ALT=\"+%282m-3n%29%282m-3n%29=13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using the idea <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2+=+x%2Ax\"   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=+2m%282m-3n%29-3n%282m-3n%29=13+ ALIGN=MIDDLE  ALT=\"+2m%282m-3n%29-3n%282m-3n%29=13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distributive property\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4m%5E2+-+6mn+-+6mn+%2B+9n%5E2=13+ ALIGN=MIDDLE  ALT=\"+4m%5E2+-+6mn+-+6mn+%2B+9n%5E2=13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distributive property\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4m%5E2+-+12mn+%2B+9n%5E2=13+ ALIGN=MIDDLE  ALT=\"+4m%5E2+-+12mn+%2B+9n%5E2=13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284m%5E2+%2B+9n%5E2%29+-+12mn+=+13+ ALIGN=MIDDLE  ALT=\"+%284m%5E2+%2B+9n%5E2%29+-+12mn+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Regrouping terms (associative property of addition)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+12mn+=+13+ ALIGN=MIDDLE  ALT=\"+1+-+12mn+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4m%5E2%2B9n%5E2+ ALIGN=MIDDLE  ALT=\"+4m%5E2%2B9n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 1 (valid since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4m%5E2%2B9n%5E2=1+ ALIGN=MIDDLE  ALT=\"+4m%5E2%2B9n%5E2=1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Now we solve for mn.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-12mn+=+13-1+ ALIGN=MIDDLE  ALT=\"+-12mn+=+13-1+\"   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=+-12mn+=+12+ ALIGN=MIDDLE  ALT=\"+-12mn+=+12+\"   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=+mn+=+12%2F%28-12%29+ ALIGN=MIDDLE  ALT=\"+mn+=+12%2F%28-12%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=+mn+=+-1+ ALIGN=MIDDLE  ALT=\"+mn+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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