document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114169>Question 114169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone PLEASE help me solve this system:<BR>\n" );
document.write( "{ x+ y-4z=6<BR>\n" );
document.write( "{2x-5y+3z=2<BR>\n" );
document.write( "{ x-6y+7z=-4<BR>\n" );
document.write( "thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83112 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+ y -4z=6<BR>\n" );
document.write( "2x-5y+3z=2<BR>\n" );
document.write( "x-6y+7z=-4<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Using the TI-83 Matrix function I find<BR>\n" );
document.write( "the determinant of the coefficient matrix<BR>\n" );
document.write( "is zero.  So there is no solution for this<BR>\n" );
document.write( "system of equations.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "You can see why this happens if you add <BR>\n" );
document.write( "equation #1 to equation #3.  You get<BR>\n" );
document.write( "2x-5y+3 = 2.  Therefore the system of <BR>\n" );
document.write( "equation is dependent; the three planes<BR>\n" );
document.write( "are really just one plane.  <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );