document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203438>Question 1203438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x+6y-z=6<BR>\n" );
document.write( "3x-3y+5z=-6<BR>\n" );
document.write( "9x+9y-2z=11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839013 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=839013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are an endless number of different ways to solve this system of equations; the other tutor has shown one.<br><BR>\n" );
document.write( "Like the other tutor, I changed the three equations into equivalent forms to get \"9x\" as a term in all three equations.  Then from there I went a different direction the they did.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B18y-3z=18 ALIGN=MIDDLE  ALT=\"9x%2B18y-3z=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-9y%2B15z=-18 ALIGN=MIDDLE  ALT=\"9x-9y%2B15z=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B9y-2z=11 ALIGN=MIDDLE  ALT=\"9x%2B9y-2z=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > [3]<br><BR>\n" );
document.write( "Do [1]-[2] to eliminate x to get one equation in y and z; do [1]-[3] to get another.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y-18z=36 ALIGN=MIDDLE  ALT=\"27y-18z=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y-6z=12 ALIGN=MIDDLE  ALT=\"9y-6z=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > [4]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y-z=7 ALIGN=MIDDLE  ALT=\"9y-z=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > [5]<br><BR>\n" );
document.write( "Do [4]-[5] to eliminate y and solve for z<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5z=5 ALIGN=MIDDLE  ALT=\"-5z=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-1 ALIGN=MIDDLE  ALT=\"z=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute z=-1 in [5] and solve for y<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y%2B1=7 ALIGN=MIDDLE  ALT=\"9y%2B1=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9y=6 ALIGN=MIDDLE  ALT=\"9y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6%2F9=2%2F3 ALIGN=MIDDLE  ALT=\"y=6%2F9=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute z=-1 and y=2/3 in [1] to solve for x<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B12%2B3=18 ALIGN=MIDDLE  ALT=\"9x%2B12%2B3=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B15=18 ALIGN=MIDDLE  ALT=\"9x%2B15=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=3 ALIGN=MIDDLE  ALT=\"9x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F9=1%2F3 ALIGN=MIDDLE  ALT=\"x=3%2F9=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: (x,y,z) = (1/3,2/3,-1)<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );