document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894855>Question 894855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IF p=m/m+n, find the value of m. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542378 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=542378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = m / (m+n)\r<BR>\n" );
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document.write( "multiply both sides of the equation by (m+n) to get:\r<BR>\n" );
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document.write( "p * (m+n) = m\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "pm + pn = m\r<BR>\n" );
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document.write( "subtract pm from both sides of the equation to get:\r<BR>\n" );
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document.write( "pn = m - pm\r<BR>\n" );
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document.write( "factor out the m to get:\r<BR>\n" );
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document.write( "pn = m*(1-p)\r<BR>\n" );
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document.write( "divide both sides of the equation by (1-p) to get:\r<BR>\n" );
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document.write( "pn / (1-p) = m\r<BR>\n" );
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document.write( "that's your solution\r<BR>\n" );
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document.write( "m = pn / (1-p)\r<BR>\n" );
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document.write( "you can confirm by giving m and n a value in the original equation and then solve for p.\r<BR>\n" );
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document.write( "you can then confirm by giving p and n the same values in the final equation and then solve for m.\r<BR>\n" );
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document.write( "your values for m and n and p in both equation should wind up being the same.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "let m = 8 and n = -4 in the original equation.\r<BR>\n" );
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document.write( "p = m / (m+n) = 8/(8-4) = 8/4 = 2\r<BR>\n" );
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document.write( "you have m = 8, n = -4, and p = 2 in the original equation\r<BR>\n" );
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document.write( "now let n = -4 and p = 2 in the final equation.\r<BR>\n" );
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document.write( "m = p*n / (1-p) = 2*-4 / (1-2) = -8 / -1 = 8\r<BR>\n" );
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document.write( "you have m = 8, n = -4, and p = 2 in the final equation.\r<BR>\n" );
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document.write( "you get the same values in both equations.\r<BR>\n" );
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document.write( "this confirms the solution is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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