document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186714>Question 186714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system.\r<BR>\n" );
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document.write( "3x+2y-z=-8<BR>\n" );
document.write( "2x-y+7z=33<BR>\n" );
document.write( "2x+2y-3z=-17\r<BR>\n" );
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document.write( "x=<BR>\n" );
document.write( "y=<BR>\n" );
document.write( "z=\r<BR>\n" );
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document.write( "*Attempted problem more than once, solution still came out incorrect. Please Help!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139974 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=139974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y-z+=+-8 ALIGN=MIDDLE  ALT=\"3x%2B2y-z+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B7z+=+33 ALIGN=MIDDLE  ALT=\"2x-y%2B7z+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y-3z+=+-17 ALIGN=MIDDLE  ALT=\"2x%2B2y-3z+=+-17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract equation 3) from equation 2).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B7z+=+33 ALIGN=MIDDLE  ALT=\"2x-y%2B7z+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y-3z+=+-17 ALIGN=MIDDLE  ALT=\"2x%2B2y-3z+=+-17\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3y%2B10z+=+50%29 ALIGN=MIDDLE  ALT=\"highlight%28-3y%2B10z+=+50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply equation 1) by 2 and equation 2) by 3.<BR>\n" );
document.write( "2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y-z+=+-8 ALIGN=MIDDLE  ALT=\"3x%2B2y-z+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y-2z+=+-16 ALIGN=MIDDLE  ALT=\"6x%2B4y-2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-y%2B7z+=+33 ALIGN=MIDDLE  ALT=\"2x-y%2B7z+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-3y%2B21z+=+99 ALIGN=MIDDLE  ALT=\"6x-3y%2B21z+=+99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract the 1st equation from the 2nd equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-3y%2B21z+=+99 ALIGN=MIDDLE  ALT=\"6x-3y%2B21z+=+99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B4y-2z+=+-16 ALIGN=MIDDLE  ALT=\"6x%2B4y-2z+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-7y%2B23z+=+115%29 ALIGN=MIDDLE  ALT=\"highlight%28-7y%2B23z+=+115%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation a) by 7 and equation b) by 3.<BR>\n" );
document.write( "7(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y%2B10z+=+50 ALIGN=MIDDLE  ALT=\"-3y%2B10z+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21y%2B70z+=+350 ALIGN=MIDDLE  ALT=\"-21y%2B70z+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7y%2B23z+=+115 ALIGN=MIDDLE  ALT=\"-7y%2B23z+=+115\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21y%2B69z+=+345 ALIGN=MIDDLE  ALT=\"-21y%2B69z+=+345\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract the 2nd equation from the 1st equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21y%2B70z+=+350 ALIGN=MIDDLE  ALT=\"-21y%2B70z+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-21y%2B69z+=+345 ALIGN=MIDDLE  ALT=\"-21y%2B69z+=+345\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28z+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now substitute this into equation a) and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y%2B10z+=+50 ALIGN=MIDDLE  ALT=\"-3y%2B10z+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute z = 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y%2B10%285%29+=+50 ALIGN=MIDDLE  ALT=\"-3y%2B10%285%29+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 50 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y+=+0 ALIGN=MIDDLE  ALT=\"-3y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, substitute y = 0 and z = 5 into equation 1) (or 2 or 3) and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y-z+=+-8 ALIGN=MIDDLE  ALT=\"3x%2B2y-z+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute y = 0 and z = 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2%280%29-5+=+-8 ALIGN=MIDDLE  ALT=\"3x%2B2%280%29-5+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+-3 ALIGN=MIDDLE  ALT=\"3x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can check these solutions by substituting x = -1, y = 0, and z = 5 into the three original equations and you'll find that they are correct. I'll leave this as an exercise for you to complete. Good luck!<BR>\n" );
document.write( " </SPAN>\n" );
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