document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683913>Question 683913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Would you please help me solve this equation:\r<BR>\n" );
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document.write( "Solve the system analytically:<BR>\n" );
document.write( "x+y+z=-4<BR>\n" );
document.write( "2x+6y+2z=8<BR>\n" );
document.write( "-x+7y-3z=40\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423849 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=423849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system analytically:<BR>\n" );
document.write( "x + y + z= -4<BR>\n" );
document.write( "2x+ 6y+ 2z = 8<BR>\n" );
document.write( "-x+ 7y -3z = 40 <BR>\n" );
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document.write( "Multiply the 1st equation by -2, add to the 2n equation<BR>\n" );
document.write( "-2x + -2y + -2z = 8<BR>\n" );
document.write( " 2x + 6y  + 2z = 8<BR>\n" );
document.write( "--------------------adding eliminates x and z find y<BR>\n" );
document.write( "4y = 16<BR>\n" );
document.write( "y = 16/4<BR>\n" );
document.write( "y = 4<BR>\n" );
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document.write( "Replace y with 4 in the 1st equation<BR>\n" );
document.write( "x + 4 + z = -4<BR>\n" );
document.write( "x + z = - 4 - 4<BR>\n" );
document.write( "x + z = -8<BR>\n" );
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document.write( "In the 3rd equation, replace y with 4<BR>\n" );
document.write( "-x + 7(4) - 3z = 40<BR>\n" );
document.write( "-x - 3z = 40 - 28<BR>\n" );
document.write( "-x - 3z = 12<BR>\n" );
document.write( "Add to the 1st two unknown equation<BR>\n" );
document.write( "-x - 3z = 12<BR>\n" );
document.write( " x + z = -8<BR>\n" );
document.write( "----------------adding eliminates x, find z<BR>\n" );
document.write( "-2z = 4<BR>\n" );
document.write( "z = 4/-2z<BR>\n" );
document.write( "z = -2<BR>\n" );
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document.write( "Replace y and z in the 1st equation<BR>\n" );
document.write( "x + 4 - 2 = -4<BR>\n" );
document.write( "x = -4 - 2<BR>\n" );
document.write( "x = -6<BR>\n" );
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document.write( "Summarize: x=-6; y=4; z=-2<BR>\n" );
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document.write( "You can check solutions in the 2nd equation<BR>\n" );
document.write( "2(-6) + 6(4)+ 2(-2) =  </SPAN>\n" );
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