document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114043>Question 114043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this system of equations. \r<BR>\n" );
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document.write( "x+y+z= -1\r<BR>\n" );
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document.write( "2x+4y+2z= -2\r<BR>\n" );
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document.write( "-x+6y-3z= -21\r<BR>\n" );
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document.write( "Write the solution as an ordered  triple.<BR>\n" );
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document.write( "(Type an exact answer in simplified form.  If the solution is the empty set, type N for each coordinate.  If there are infinitely many solutions, type I for each coordinate.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82992 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y + z = -1<BR>\n" );
document.write( "2x + 4y + 2z = -2<BR>\n" );
document.write( "-x + 6y - 3z = -21<BR>\n" );
document.write( "divide 2nd one by 2<BR>\n" );
document.write( "x + 2y + z = -1<BR>\n" );
document.write( "multiply each side by -1<BR>\n" );
document.write( "-x - 2y - z = 1<BR>\n" );
document.write( "add it to the 1st one<BR>\n" );
document.write( "x + y + z = -1<BR>\n" );
document.write( "-x - 2y - z = 1<BR>\n" );
document.write( "y - 2y = 0<BR>\n" );
document.write( "-y = 0<BR>\n" );
document.write( "multiply both sides by -1<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "The 3rd equation is<BR>\n" );
document.write( "-x + 6y - 3z = -21<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "-x - 3z = -21<BR>\n" );
document.write( "The 1st equation is<BR>\n" );
document.write( "x + y + z = -1<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "x + z = -1<BR>\n" );
document.write( "add the 3rd and 1st<BR>\n" );
document.write( "-2z = -22<BR>\n" );
document.write( "z = 11<BR>\n" );
document.write( "The 2nd one is<BR>\n" );
document.write( "-x - 2y - z = 1<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "z = 11<BR>\n" );
document.write( "-x - 11 = 1<BR>\n" );
document.write( "-x = 12<BR>\n" );
document.write( "x = -12<BR>\n" );
document.write( "The solutions are x = -12, y = 0, z = 11 </SPAN>\n" );
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