document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079187>Question 1079187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If  x  varies inversely as y and y varies directly as z what is the relationship between x and z  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693543 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=693543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x varies inversely as y leads to x = k/y\r<BR>\n" );
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document.write( "y varies directly as z leads to y = kz.\r<BR>\n" );
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document.write( "replacing y with kz in x = k/y leads to x = k/(kz)\r<BR>\n" );
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document.write( "simplifying that leads to x = 1/z\r<BR>\n" );
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document.write( "looks like z is the reciprocal of x.\r<BR>\n" );
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document.write( "this assumes that k is the same in both equations, as i believe it needs to be in order for the equations to work.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "let x = 10 and y = 5.\r<BR>\n" );
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document.write( "we can solve for k in the first equation.\r<BR>\n" );
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document.write( "we get x = k/y becomes 10 = k/5.\r<BR>\n" );
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document.write( "solve for k to get k = 50.\r<BR>\n" );
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document.write( "now replace y with 5 and k with 50 in the second equation.\r<BR>\n" );
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document.write( "we get y = kz becomes 5 = 50 * z\r<BR>\n" );
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document.write( "solve for z to get z = 5/50 = 1/10\r<BR>\n" );
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document.write( "x was equal to 10<BR>\n" );
document.write( "z is equal to 1/10\r<BR>\n" );
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document.write( "z is the reciprocal of x.\r<BR>\n" );
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document.write( "that's what i think is going on.<BR>\n" );
document.write( "can't swear to it because i've never seen one like this before.<BR>\n" );
document.write( "it does, however, seem reasonable.\r<BR>\n" );
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