document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64350>Question 64350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the homogeneous system: {2x+y+z=0<BR>\n" );
document.write( "                               4x-5y+z=0<BR>\n" );
document.write( "                               3x-2y+z=0                     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46434 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the homogeneous system:<BR>\n" );
document.write( "2x+y+z=0..........................1<BR>\n" );
document.write( "4x-5y+z=0....................2<BR>\n" );
document.write( "3x-2y+z=0................3<BR>\n" );
document.write( "EQN.2-EQN.1<BR>\n" );
document.write( "2X-6Y=0......OR.......X-3Y=0........................4<BR>\n" );
document.write( "EQN.3-EQN.1<BR>\n" );
document.write( "X-3Y=0......................5<BR>\n" );
document.write( "EQN.4 & EQN.5 ARE IDENTICAL.HENCE THE SYSTEM IS CONSISTENT AND DEPENDENT.<BR>\n" );
document.write( "SO SOLUTION SET IS<BR>\n" );
document.write( "FROM EQN.4<BR>\n" );
document.write( "X=3Y<BR>\n" );
document.write( "PUTTING IN EQN.1<BR>\n" );
document.write( "6Y+Y+Z=0<BR>\n" );
document.write( "7Y+Z=0<BR>\n" );
document.write( "Z=-7Y...<BR>\n" );
document.write( "HENCE ANY SET OF THE TYPE<BR>\n" );
document.write( "3Y,Y,-7Y....FOR ANY VALUE OF Y IS A SOLUTION SET..EX...(3,1,-7),(9,3,-21)...ETC.. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );