document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088769>Question 1088769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system: x + y + z = 3, 2x – y + 3z = 3, x - 2y + 3z = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703094 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y + z = 3, 2x – y + 3z = 3, x - 2y + 3z = 0<BR>\n" );
document.write( "x+y+z=3<BR>\n" );
document.write( "2x-y+3z=3<BR>\n" );
document.write( "add<BR>\n" );
document.write( "3x+4z=6<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "2x+2y+2z=6, double first<BR>\n" );
document.write( "x-2y+3z=0<BR>\n" );
document.write( "3x+5z=6<BR>\n" );
document.write( "subtract <BR>\n" );
document.write( "-z=0<BR>\n" );
document.write( "z=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "y must be 1<BR>\n" );
document.write( "(2, 1, 0)<BR>\n" );
document.write( "Can be done with matrices, but eliminating one variable twice makes it two simultaneous equations and can be done that way, too.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );