document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550370>Question 550370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> very unsure how to solve this or what numbers to plug into the equations there are so many combinations. If I had to guess I would guess \"No Solutions\"\r<BR>\n" );
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document.write( "Solve the system Write your answer using parentheses and no spaces. Example (2,0,-3) or write \"No Solution\" for questions with no solution.\r<BR>\n" );
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document.write( "x + y + z = 6<BR>\n" );
document.write( "2x - y + 2z = 6<BR>\n" );
document.write( "-x + y + 3z = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358670 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve using the elimination method rather than guessing: First elimination one variable, then another\r<BR>\n" );
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document.write( "x + y + z = 6<BR>\n" );
document.write( "plus<BR>\n" );
document.write( "-x + y + 3z = 10<BR>\n" );
document.write( "2y+4z=16\r<BR>\n" );
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document.write( "2x - y + 2z = 6<BR>\n" );
document.write( "plus 2 times<BR>\n" );
document.write( "-x + y + 3z = 10<BR>\n" );
document.write( "-2x+2y+6z=20<BR>\n" );
document.write( "which gives<BR>\n" );
document.write( "y+5z=26<BR>\n" );
document.write( "We already had:<BR>\n" );
document.write( "2y+4z=16<BR>\n" );
document.write( "multiply y+5z=26 by -2<BR>\n" );
document.write( "-2y-10z=-52<BR>\n" );
document.write( "-6z=-36<BR>\n" );
document.write( "z=6\r<BR>\n" );
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document.write( "Now that we know z=6 sub it in 2y+4z=16 <BR>\n" );
document.write( "2y+24=16<BR>\n" );
document.write( "2y=-8<BR>\n" );
document.write( "y=-4\r<BR>\n" );
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document.write( "x + y + z = 6\r<BR>\n" );
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document.write( "x+-4+6=6<BR>\n" );
document.write( "x=4\r<BR>\n" );
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document.write( "(4,-4,6)<BR>\n" );
document.write( " </SPAN>\n" );
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