document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114016>Question 114016</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+y+2z= -2\r<BR>\n" );
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document.write( "-x+y-3z= -21<BR>\n" );
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document.write( "Write the solution as an ordered  triple.<BR>\n" );
document.write( " (    )\r<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.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83038 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y + z = 1<BR>\n" );
document.write( "2x+ y +2z = -2<BR>\n" );
document.write( "-x+ y -3z = -21<BR>\n" );
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document.write( "x + y + z = 1<BR>\n" );
document.write( "2x+ y +2z = -2<BR>\n" );
document.write( "-x+ y -3z = -21<BR>\n" );
document.write( "------------------Adding eliminates z<BR>\n" );
document.write( "2x + 3y = -22<BR>\n" );
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document.write( "Multiply the 1st equation by 3 and add to it equation 3<BR>\n" );
document.write( "3x + 3y + 3z = 3<BR>\n" );
document.write( "-x + y  - 3z = -21<BR>\n" );
document.write( "-------------------adding eliminates z again<BR>\n" );
document.write( "2x + 4y = -18<BR>\n" );
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document.write( "Using these two, 2 unknown equations, subtract the 1st one from the 2nd one:<BR>\n" );
document.write( "2x + 4y = -18<BR>\n" );
document.write( "2x + 3y = -22<BR>\n" );
document.write( "------------------subtracting eliminates x<BR>\n" );
document.write( "0x + y = + 4<BR>\n" );
document.write( "y = +4<BR>\n" );
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document.write( "Find x using 2x + 4y = -18<BR>\n" );
document.write( "2x + 4(4) = -18<BR>\n" );
document.write( "2x + 16 = -18<BR>\n" );
document.write( "2x = -18 - 16<BR>\n" );
document.write( "2x = -34<BR>\n" );
document.write( "x = -17<BR>\n" );
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document.write( "I'll let you find z.  Check solutions in one of original equations </SPAN>\n" );
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