document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088768>Question 1088768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system: x + y + z = 4,  3x – y + z = 2,   y – z = -2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703101 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=703101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system:<BR>\n" );
document.write( "  x + y + z = 4<BR>\n" );
document.write( " 3x – y + z = 2<BR>\n" );
document.write( "rearrange the 3rd equation<BR>\n" );
document.write( "  y – z = -2 <BR>\n" );
document.write( "  y = z - 2<BR>\n" );
document.write( "In the 2nd equation, replace y with (z-2)<BR>\n" );
document.write( "x - (z-2) + z = 2<BR>\n" );
document.write( "x + 2 = 2<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "replacing x with 0 in the first two equations we have<BR>\n" );
document.write( "y + z = 4<BR>\n" );
document.write( "-y +z = 2<BR>\n" );
document.write( "------------Addition eliminates y, find z<BR>\n" );
document.write( "2z = 6<BR>\n" );
document.write( "z = 3<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y = 3 - 2<BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "We have x=0; y=1; z = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "you can check these solutions in the original equations<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );