document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891216>Question 891216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> additional assistance requested in understanding how to get a solution \r<BR>\n" );
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document.write( "solve the system linear equations using the Gauss-Jordam method\r<BR>\n" );
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document.write( "3x + 3y + z  = 22<BR>\n" );
document.write( " x +      z  =  6<BR>\n" );
document.write( "     4y + 3z =  8\r<BR>\n" );
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document.write( "2x + 5y - 2z = 14<BR>\n" );
document.write( "5x - 6y + 2z =  0<BR>\n" );
document.write( "4x -  y + 3z = -7\r<BR>\n" );
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document.write( "x - 2y = 8<BR>\n" );
document.write( "3x+ 4y = 4\r<BR>\n" );
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document.write( "3x + 2y =  14<BR>\n" );
document.write( " x - 4y = -14\r<BR>\n" );
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document.write( " 7x + 5y =  32<BR>\n" );
document.write( "-3x +  y = 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539597 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Against my better judgement, I will do two for you.<BR>\n" );
document.write( "3x + 3y + z = 22<BR>\n" );
document.write( "x + z = 6<BR>\n" );
document.write( "4y + 3z = 8 \r<BR>\n" );
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document.write( "3,3,1,22<BR>\n" );
document.write( "1,0,1,6<BR>\n" );
document.write( "0,4,3,8\r<BR>\n" );
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document.write( "divide row 1 by 3/1<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "1,0,1,6<BR>\n" );
document.write( "0,4,3,8\r<BR>\n" );
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document.write( "add  down (-1/1) *row 1 to row 2<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,-1,2/3,-4/3<BR>\n" );
document.write( "0,4,3,8\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (0/1) *row 1 to row 3<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,-1,2/3,-4/3<BR>\n" );
document.write( "0,4,3,8\r<BR>\n" );
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document.write( "divide row 2 by -1/1<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,1,2/-3,-4/-3<BR>\n" );
document.write( "0,4,3,8\r<BR>\n" );
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document.write( "add  down (-4/1) *row 2 to row 3<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,1,2/-3,4/3<BR>\n" );
document.write( "0,0,-17/-3,8/3\r<BR>\n" );
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document.write( "divide row 3 by 17/3<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,1,2/-3,4/3<BR>\n" );
document.write( "0,0,1,24/51\r<BR>\n" );
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document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
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document.write( "add up  (-2/-3) *row 3 to row 2<BR>\n" );
document.write( "1,1,1/3,22/3<BR>\n" );
document.write( "0,1,0,-252/-153<BR>\n" );
document.write( "0,0,1,8/17\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-1/3) *row 3 to row 1<BR>\n" );
document.write( "1,1,0,1098/153<BR>\n" );
document.write( "0,1,0,28/17<BR>\n" );
document.write( "0,0,1,8/17\r<BR>\n" );
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document.write( "add up  (-1/1) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,1598/289<BR>\n" );
document.write( "0,1,0,28/17<BR>\n" );
document.write( "0,0,1,8/17\r<BR>\n" );
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document.write( "final<BR>\n" );
document.write( "1,0,0,94/17 = 5.52941176<BR>\n" );
document.write( "0,1,0,28/17 = 1.64705882<BR>\n" );
document.write( "0,0,1,8/17 = 0.47058824\r<BR>\n" );
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document.write( "\"94/17\",\"28/17\",\"8/17\"\r<BR>\n" );
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document.write( "next one<BR>\n" );
document.write( "2x + 5y - 2z = 14<BR>\n" );
document.write( "5x - 6y + 2z = 0<BR>\n" );
document.write( "4x - y + 3z = -7 \r<BR>\n" );
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document.write( "2,5,-2,14<BR>\n" );
document.write( "5,-6,2,0<BR>\n" );
document.write( "4,-1,3,-7\r<BR>\n" );
document.write( "\n" );
document.write( "divide row 1 by 2/1<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "5,-6,2,0<BR>\n" );
document.write( "4,-1,3,-7\r<BR>\n" );
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document.write( "add  down (-5/1) *row 1 to row 2<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,-37/2,7,-35<BR>\n" );
document.write( "4,-1,3,-7\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (-4/1) *row 1 to row 3<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,-37/2,7,-35<BR>\n" );
document.write( "0,-11,7,-35\r<BR>\n" );
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document.write( "divide row 2 by -37/2<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,1,14/-37,-70/-37<BR>\n" );
document.write( "0,-11,7,-35\r<BR>\n" );
document.write( "\n" );
document.write( "add  down (11/1) *row 2 to row 3<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,1,14/-37,70/37<BR>\n" );
document.write( "0,0,-105/-37,-525/37\r<BR>\n" );
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document.write( "divide row 3 by 105/37<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,1,14/-37,70/37<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
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document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
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document.write( "add up  (-14/-37) *row 3 to row 2<BR>\n" );
document.write( "1,5/2,-1,7<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (1/1) *row 3 to row 1<BR>\n" );
document.write( "1,5/2,0,2<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
document.write( "\n" );
document.write( "add up  (-5/2) *row 2 to row 1<BR>\n" );
document.write( "1,0,0,2<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
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document.write( "final<BR>\n" );
document.write( "1,0,0,2<BR>\n" );
document.write( "0,1,0,0<BR>\n" );
document.write( "0,0,1,-5\r<BR>\n" );
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document.write( "(2,0,-5)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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