document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914130>Question 914130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve ordered triple as 6x+2y-3z=-17 7x-5y+z=72 2x+8y+3z=-21 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554919 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=554919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%286x%2B2y-3z=-17%2C+7x-5y%2Bz=72%2C+2x%2B8y%2B3z=-21%29 ALIGN=MIDDLE  ALT=\"system%286x%2B2y-3z=-17%2C+7x-5y%2Bz=72%2C+2x%2B8y%2B3z=-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use either matrix row operations or simple successive substitutions.\r<BR>\n" );
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document.write( "If you are not yet advanced, then pick any first substitution for use of this method, starting with whichever equation you believe would be most convenient.\r<BR>\n" );
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document.write( "I'm choosing the second equation in the given system.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=72-7x%2B5y ALIGN=MIDDLE  ALT=\"z=72-7x%2B5y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use this in the first and the third equations and simplify them.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-2y-3%2872-7x%2B5y%29=-17 ALIGN=MIDDLE  ALT=\"6x-2y-3%2872-7x%2B5y%29=-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-2y-216%2B21x-15y=-17 ALIGN=MIDDLE  ALT=\"6x-2y-216%2B21x-15y=-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x-17y=216-17 ALIGN=MIDDLE  ALT=\"27x-17y=216-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2827x-17=199%29 ALIGN=MIDDLE  ALT=\"highlight_green%2827x-17=199%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the other equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B8y%2B3z=21 ALIGN=MIDDLE  ALT=\"2x%2B8y%2B3z=21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B8y%2B3%2872-7x%2B5y%29=-21 ALIGN=MIDDLE  ALT=\"2x%2B8y%2B3%2872-7x%2B5y%29=-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B8y%2B216-21x%2B15y=-21 ALIGN=MIDDLE  ALT=\"2x%2B8y%2B216-21x%2B15y=-21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x%2B23y=-21-216 ALIGN=MIDDLE  ALT=\"-19x%2B23y=-21-216\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x%2B23y=-237 ALIGN=MIDDLE  ALT=\"-19x%2B23y=-237\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2819x-23y=237%29 ALIGN=MIDDLE  ALT=\"highlight_green%2819x-23y=237%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You now have this system to work with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2827x-17y=199%2C19x-23y=237%29 ALIGN=MIDDLE  ALT=\"system%2827x-17y=199%2C19x-23y=237%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From this system, pick an equation, solve for either variable; substitute into the other equation and solve for the single variable.  NOW back substitute successively to get the values for the other two variables. </SPAN>\n" );
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