document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235195>Question 235195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think that my problem falls under this topic. I am in Algebra 2 and I am stuck on this one problem. Solving Systems of Equations in Three Variables.<BR>\n" );
document.write( "Here's the problem:<BR>\n" );
document.write( "1.)2x-y+z=1<BR>\n" );
document.write( "2.)x+2y-4z=3<BR>\n" );
document.write( "3.)4x+3y-7z=-8<BR>\n" );
document.write( "So here's what I tried to do:<BR>\n" );
document.write( "First, I put equations 1 and 2 together and used the elimination method and I got -5y+9z=-5<BR>\n" );
document.write( "so that would be the 4th equation<BR>\n" );
document.write( "Then, I put equations 2 and 3 together and used elimination again and got -5y+9z=-20<BR>\n" );
document.write( "which would be the 5th equation<BR>\n" );
document.write( "I tried to put equations 4 and 5 together since they had like terms but it just didn't seem to work out well at all. Asking for your help and thanking you in advance, bthnydyson </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173456 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=173456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)2x - y + z = 1<BR>\n" );
document.write( "2.)x + 2y -4z = 3<BR>\n" );
document.write( "3.)4x +3y -7z =-8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 2 and add to the 2nd equation<BR>\n" );
document.write( "4x - 2y + 2z = 2<BR>\n" );
document.write( " x + 2y - 4z = 3<BR>\n" );
document.write( "-------------------addition eliminates y<BR>\n" );
document.write( "5x - 2z = 5<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Multiply the 1st equation by 3 and add to the 3rd equaiont<BR>\n" );
document.write( "6x - 3y + 3z = 3<BR>\n" );
document.write( "4x + 3y - 7z = -8<BR>\n" );
document.write( "--------------------addition eliminates y again<BR>\n" );
document.write( "10x - 4z = -5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can see right now that this system has no solution<BR>\n" );
document.write( "If you multiply eq 4 by 2 and add to the above, you can see<BR>\n" );
document.write( "10x - 4z = 10<BR>\n" );
document.write( "10x - 4z = -5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "No wonder you were having trouble </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );