document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033107>Question 1033107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the numerator of a fraction is decreased by 1 its values become 2/3, but if the denominator is increased by 5 its values become 1/2, what is the fraction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647692 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the fraction be x/y.\r<BR>\n" );
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document.write( "The first part of the problem says that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2Fy+=+2%2F3 ALIGN=MIDDLE  ALT=\"%28x-1%29%2Fy+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, while the second part says that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28y%2B5%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"x%2F%28y%2B5%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The second equation is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F2%29%28y%2B5%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F2%29%28y%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Upon substitution into the first equation, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2%29%28y%2B5%29-1%29%2Fy+=+2%2F3 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29%28y%2B5%29-1%29%2Fy+=+2%2F3\"   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=%281%2F2%29y%2B5%2F2+-+1+=+%282%2F3%29y ALIGN=MIDDLE  ALT=\"%281%2F2%29y%2B5%2F2+-+1+=+%282%2F3%29y\"   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=y%2F2+%2B3%2F2+=+%282%2F3%29y ALIGN=MIDDLE  ALT=\"y%2F2+%2B3%2F2+=+%282%2F3%29y\"   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=3%2F2+=+%281%2F6%29y ALIGN=MIDDLE  ALT=\"3%2F2+=+%281%2F6%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> y = 9.\r<BR>\n" );
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document.write( "==> x = 7.\r<BR>\n" );
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document.write( "==> the fraction is 7/9. </SPAN>\n" );
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