document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93431>Question 93431</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">   If  y varies directly as x and inversely as z^2, and y = 3 when x = 2 <BR>\n" );
document.write( "        and z = 4, what is the value of x when y = 9 and z = 4?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68017 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 'y' varies directly as 'x' and inversely as 'z^2'.<BR>\n" );
document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+k%28x%2Fz%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+k%28x%2Fz%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > _______ (1)<BR>\n" );
document.write( "Now, y = 3 when x = 2 and z = 4, <BR>\n" );
document.write( "Substituting the values of 'x', 'y' and 'z' in (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+k%282%2F4%5E2%29 ALIGN=MIDDLE  ALT=\"3+=+k%282%2F4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+k%2F8 ALIGN=MIDDLE  ALT=\"3+=+k%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+3x8+=+24 ALIGN=MIDDLE  ALT=\"k+=+3x8+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "So (1) becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+24%28x%2Fz%5E2%29 ALIGN=MIDDLE  ALT=\"y+=+24%28x%2Fz%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > _____ (2)<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "Substituting the values of 'y' and 'z' in (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+24%28x%2F4%5E2%29 ALIGN=MIDDLE  ALT=\"9+=+24%28x%2F4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+24x%2F16 ALIGN=MIDDLE  ALT=\"9+=+24x%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+x%2F2 ALIGN=MIDDLE  ALT=\"3+=+x%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2A2+=+6 ALIGN=MIDDLE  ALT=\"x+=+3%2A2+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The reqd. value of 'x' when y = 9 and z = 4 is 6. </SPAN>\n" );
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