document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269789>Question 269789</A>: <I><SPAN STYLE=\"word-break: break-all;\">  x-3y+7z+w=11<BR>\n" );
document.write( "2x+4y+6z-3w=-3<BR>\n" );
document.write( "3x+2y+z+2w=19<BR>\n" );
document.write( "4x+y-3z+w=22\r<BR>\n" );
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document.write( "Systems of linear equations in three variables </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197663 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-3y+7z+w=11<BR>\n" );
document.write( "2x+4y+6z-3w=-3<BR>\n" );
document.write( "3x+2y+z+2w=19<BR>\n" );
document.write( "4x+y-3z+w=22 <BR>\n" );
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document.write( "Looks like 4.<BR>\n" );
document.write( "Determinant = -535<BR>\n" );
document.write( "w = 3<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "y = -1<BR>\n" );
document.write( "z = 0<BR>\n" );
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document.write( "I made an Excel sheet to do these. Doing them manually is tedious and error-prone.<BR>\n" );
document.write( "There are sites that will solve up to a 10 by 10 that I've seen.<BR>\n" );
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