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 #844929 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\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;\" > [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;\" > [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;\" > [3]<br><BR>\n" );
document.write( "The instructions are to write x and y as functions of z.  We can get x as a function of z directly from [2]:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3z-2 ALIGN=MIDDLE  ALT=\"x=-3z-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > [4]<br><BR>\n" );
document.write( "Substitute [4] in [1] and solve to find y as a function of z:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28-3z-2%29-3y-9z=20 ALIGN=MIDDLE  ALT=\"2%28-3z-2%29-3y-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=-6z-4-3y-9z=20 ALIGN=MIDDLE  ALT=\"-6z-4-3y-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=-3y-15z=24 ALIGN=MIDDLE  ALT=\"-3y-15z=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5z=-8 ALIGN=MIDDLE  ALT=\"y%2B5z=-8\"   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;\" > [5]<br><BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "z = z<BR>\n" );
document.write( "x = -3z-2<BR>\n" );
document.write( "y = -5z-8<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );