document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064373>Question 1064373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fraction has a value of 3/4. If 4 is added to its numerator and 8 is subtracted to its denominator. The value of the resulting fraction is 1. What is the original fraction. Show linear equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679430 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the original numerator.<BR>\n" );
document.write( "let y be the original denominator.\r<BR>\n" );
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document.write( "you get x/y = 3/4\r<BR>\n" );
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document.write( "when you add 4 to the numerator and subtract 8 from the denominator, you get:\r<BR>\n" );
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document.write( "(x + 4) / (y - 8) = 1\r<BR>\n" );
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document.write( "solve for x in the first equation to get x = 3/4 * y\r<BR>\n" );
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document.write( "replace x in the second equation with 3/4 * y to get:\r<BR>\n" );
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document.write( "(3/4 * y + 4) / (y - 8) = 1\r<BR>\n" );
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document.write( "multiply both sides of this equation to get:\r<BR>\n" );
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document.write( "3/4 * y + 4 = y - 8\r<BR>\n" );
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document.write( "subtract 4 from both sides of the equation to get:\r<BR>\n" );
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document.write( "3/4 * y = y - 12\r<BR>\n" );
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document.write( "subtract y from both sides of this equation to get:\r<BR>\n" );
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document.write( "-1/4 * y = -12\r<BR>\n" );
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document.write( "solve for y to get y = 48\r<BR>\n" );
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document.write( "go back to the original equation of x/y = 3/4 and replace y with 48 to get:\r<BR>\n" );
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document.write( "x/48 = 3/4\r<BR>\n" );
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document.write( "multiply both sides of this equation by 48 to get:\r<BR>\n" );
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document.write( "x = (3 * 48) / 4 = 3 * 12 = 36\r<BR>\n" );
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document.write( "you get x = 36 and y = 48\r<BR>\n" );
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document.write( "x/y = 36/48 = 3/4\r<BR>\n" );
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document.write( "(x+4) / (y-8) = (36+4) / (48-8) = 40/40 = 1\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "the original fraction is 36/48.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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