document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207192>Question 1207192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given the system of equations 2x-3y-9z=20 x+3z=-2 -3x+y-4z=-2 find the complete solution write x and y as functions of z  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844928 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y-9z=20 ALIGN=MIDDLE  ALT=\"2x-3y-9z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3z=-2 ALIGN=MIDDLE  ALT=\"x%2B3z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........eg.2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2By-4z=-2 ALIGN=MIDDLE  ALT=\"-3x%2By-4z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.3<BR>\n" );
document.write( "-----------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "start with\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y-9z=20 ALIGN=MIDDLE  ALT=\"2x-3y-9z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1, solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=20%2B3y%2B9z+ ALIGN=MIDDLE  ALT=\"2x=20%2B3y%2B9z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10%2B3y%2F2%2B9z%2F2 ALIGN=MIDDLE  ALT=\"x=10%2B3y%2F2%2B9z%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1a\r<BR>\n" );
document.write( "\n" );
document.write( "then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3z=-2 ALIGN=MIDDLE  ALT=\"x%2B3z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........eg.2, solve for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2-3z ALIGN=MIDDLE  ALT=\"x=-2-3z\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........eg.2a\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "from eq.1a and eq.2a we have\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2B3y%2F2%2B9z%2F2=-2-3z ALIGN=MIDDLE  ALT=\"10%2B3y%2F2%2B9z%2F2=-2-3z\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y ALIGN=MIDDLE  ALT=\"+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F2=-2-3z-10-9z%2F2 ALIGN=MIDDLE  ALT=\"3y%2F2=-2-3z-10-9z%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-4-6z-20-9z ALIGN=MIDDLE  ALT=\"3y=-4-6z-20-9z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-15z-24 ALIGN=MIDDLE  ALT=\"3y=-15z-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >..both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5z-8 ALIGN=MIDDLE  ALT=\"y=-5z-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.3a\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solutions of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > in terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+ ALIGN=MIDDLE  ALT=\"z+\"   DISABLED_style= \"max-width:90%; height:auto;\" >are:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2-3z ALIGN=MIDDLE  ALT=\"x=-2-3z\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-5z-8 ALIGN=MIDDLE  ALT=\"y=-5z-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "check:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y-9z=20 ALIGN=MIDDLE  ALT=\"2x-3y-9z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y ALIGN=MIDDLE  ALT=\"+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-2-3z%29-3%28-5z-8%29-9z=20 ALIGN=MIDDLE  ALT=\"2%28-2-3z%29-3%28-5z-8%29-9z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4-6z%2B15z%2B24-9z=20 ALIGN=MIDDLE  ALT=\"-4-6z%2B15z%2B24-9z=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15z%2B15z%2B20=20 ALIGN=MIDDLE  ALT=\"-15z%2B15z%2B20=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=20 ALIGN=MIDDLE  ALT=\"20=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> true\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3z=-2 ALIGN=MIDDLE  ALT=\"x%2B3z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...........eg.2, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2-3z%2B3z=-2 ALIGN=MIDDLE  ALT=\"-2-3z%2B3z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2=-2 ALIGN=MIDDLE  ALT=\"-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > => true\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2By-4z=-2 ALIGN=MIDDLE  ALT=\"-3x%2By-4z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.3, substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y ALIGN=MIDDLE  ALT=\"+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%28-2-3z%29%2B%28-5z-8%29-4z=-2 ALIGN=MIDDLE  ALT=\"-3%28-2-3z%29%2B%28-5z-8%29-4z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B9z-5z-8-4z=-2 ALIGN=MIDDLE  ALT=\"6%2B9z-5z-8-4z=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9z-9z-2=-2 ALIGN=MIDDLE  ALT=\"9z-9z-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2=-2 ALIGN=MIDDLE  ALT=\"-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>true\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );