document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189494>Question 189494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Id have a question if x varies inversely as y and x=2 when y=8, and i should find x when y=17 then x=12 or does x=11? \r<BR>\n" );
document.write( "\n" );
document.write( "Another question would be; if y varies directly with x and y=10 when x=15, find y when x=6, so y=1? \r<BR>\n" );
document.write( "\n" );
document.write( "My last question would be; could someone explain this to me; if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=9 and z=4? how would i solve this?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142187 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "\n" );
document.write( "For your first question, neither of your answers are correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If <i>y</i> varies inversely as <i>x</i>, then you can say:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y = \frac{k}{x}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "where <i>k</i> is called the constant of proportionality.  The first task is to determine the constant of proportionality based on the given values of <i>x</i> and <i>y</i>.  To do this, substitute the given values and then solve for <i>k</i>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  8 = \frac{k}{2}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides by 2:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ k = 16\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now you can create the specific relationship for your problem by substituting this newly discovered value for <i>k</i>:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y = \frac{16}{x}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And finally, if you need to know the value of <i>x</i> when <i>y</i> = 17, you need to substitute this value in place of <i>y</i> and solve for <i>x</i>:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 17 = \frac{16}{x}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides of the equation by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x}{17}\">:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x = \frac{16}{17}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And that's your answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The other two problems are done the same way, except that a direct variation looks like:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y = kx\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And in your third problem, you have to set up two equations and solve them both.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );