document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123854>Question 123854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help on systems of equations with 3 variables.\r<BR>\n" );
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document.write( "2x+y-3z=-12<BR>\n" );
document.write( "5x-y+z=11<BR>\n" );
document.write( "x+3y-2z=-13\r<BR>\n" );
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document.write( "Please and Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90865 by </B><A HREF=/tutors/aboutme.mpl?userid=johnnico6426><B>johnnico6426(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=johnnico6426><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=90865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are lot of ways to solve equations with 3 unknown variable. You can do matrices or substitution. For the sake of easiness, I will demonstrate how to solve the 3 equations using substitution.\r<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By-3z=-12 ALIGN=MIDDLE  ALT=\"2x%2By-3z=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-y%2Bz=11 ALIGN=MIDDLE  ALT=\"5x-y%2Bz=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y-2z=-13 ALIGN=MIDDLE  ALT=\"x%2B3y-2z=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Isolate the y in the first variable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3z-12 ALIGN=MIDDLE  ALT=\"y=-2x%2B3z-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the y in the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x-%28-2x%2B3z-12%29%2Bz=11 ALIGN=MIDDLE  ALT=\"5x-%28-2x%2B3z-12%29%2Bz=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x-2z%2B12=11 ALIGN=MIDDLE  ALT=\"7x-2z%2B12=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Isolate z.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%287%2F2%29x%2B%281%2F2%29 ALIGN=MIDDLE  ALT=\"z=%287%2F2%29x%2B%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the z in the y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3%28%287%2F5%29x%2B%281%2F2%29%29-12 ALIGN=MIDDLE  ALT=\"y=-2x%2B3%28%287%2F5%29x%2B%281%2F2%29%29-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8.5x-10.5 ALIGN=MIDDLE  ALT=\"y=8.5x-10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the NEW y and z value in the last equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%288.5x-10.5%29-2%28%287%2F2%29x%2B%281%2F2%29%29=-13 ALIGN=MIDDLE  ALT=\"x%2B3%288.5x-10.5%29-2%28%287%2F2%29x%2B%281%2F2%29%29=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug x=1 to the new y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8.5%281%29-10.5 ALIGN=MIDDLE  ALT=\"y=8.5%281%29-10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug the y and x value to any of the equations. you should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=4 ALIGN=MIDDLE  ALT=\"z=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=4 ALIGN=MIDDLE  ALT=\"z=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );