document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830952>Question 830952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quantity a varies directly as x and another quantity b varies inversely as x. when x = 2, then sum of a and b is 7, and when x = 3, the sum is 8. Find the value of a+b when x = 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501204 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=501204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quantity a varies directly as x<BR>\n" );
document.write( "a = kx<BR>\n" );
document.write( " and another quantity b varies inversely as x.<BR>\n" );
document.write( "b = k/x<BR>\n" );
document.write( " when x = 2, then sum of a and b is 7,<BR>\n" );
document.write( "a + b = 7<BR>\n" );
document.write( "Replace a and b<BR>\n" );
document.write( "kx + k/x = 7<BR>\n" );
document.write( "replace x with 2<BR>\n" );
document.write( "2k + k/2 = 7<BR>\n" );
document.write( "find k, multiply equation by 2<BR>\n" );
document.write( "4k + k = 14<BR>\n" );
document.write( "5k = 14<BR>\n" );
document.write( "k = 14/5<BR>\n" );
document.write( "k = 2.8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "and when x = 3, the sum is 8.<BR>\n" );
document.write( "2.8x + 2.8/x  = 8<BR>\n" );
document.write( "2.8(3) + 2.8/3 = 9.333 !!!<BR>\n" );
document.write( "I just can't make this work\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " Find the value of a+b when x = 4. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );