document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016859>Question 1016859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/(3x) + 1/(2y) + 1/(2z) = -1 <BR>\n" );
document.write( "1/(5x) - 1/(3y) + 1/(4z) = -1/3 <BR>\n" );
document.write( "1/(2x) + 1/y + 1/(2z) = -1/2 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633263 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/(3x) + 1/(2y) + 1/(2z) = -1 <BR>\n" );
document.write( "1/(5x) - 1/(3y) + 1/(4z) = -1/3 <BR>\n" );
document.write( "1/(2x) + 1/y + 1/(2z) = -1/2<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Sub r = 1/x, s = 1/y & t = 1/z<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "r/3 + s/2 + t/2 = -1<BR>\n" );
document.write( "r/5 - s/3 + t/4 = -1/3<BR>\n" );
document.write( "r/2 + s + t/2 = -1/2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Eliminate fractions<BR>\n" );
document.write( "2r + 3s + 3t = -6<BR>\n" );
document.write( "12r - 20s + 15t = -20<BR>\n" );
document.write( "r + 2s + t = -1<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Eliminate r<BR>\n" );
document.write( "2r + 3s + 3t = -6<BR>\n" );
document.write( "2r + 4s + 2t = -2<BR>\n" );
document.write( "-------------------------- Subtract<BR>\n" );
document.write( "-s + t = -4 Eqn A<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "12r + 18s + 18t = -36<BR>\n" );
document.write( "12r - 20s + 15t = -20<BR>\n" );
document.write( "--------------------------- Subtract<BR>\n" );
document.write( "38s + 3t = -16<BR>\n" );
document.write( "-3s + 3t = -12 Eqn A times 3<BR>\n" );
document.write( "----------------------------- Subtract<BR>\n" );
document.write( "41s = -4<BR>\n" );
document.write( "s = -4/41 --> y = -41/4<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "-s + t = -4 Eqn A<BR>\n" );
document.write( "t = s-4<BR>\n" );
document.write( "t = -168/41 --> z = -41/168<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "r + 2s + t = -1<BR>\n" );
document.write( "r = -1 - 2s - t = 1 +8/41 + 168/41<BR>\n" );
document.write( "r = 217/41 ---> x = 41/217<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Check it carefully, mistakes are possible, but that's the method.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );