document.write( "Question 208177: I have been trying to get this problem right but am having no luck. It needs to be done using the Gauss-Jordan method. Can someobdy help.\r
\n" ); document.write( "\n" ); document.write( "x + 3y - 6z = 7
\n" ); document.write( "2x - y + 2z = 0
\n" ); document.write( "x + y + 2z = -1\r
\n" ); document.write( "\n" ); document.write( "Any help would be appreciated.\r
\n" ); document.write( "\n" ); document.write( "Thanks.
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Algebra.Com's Answer #157496 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x + 3y - 6z = 7
\n" ); document.write( "2x - y + 2z = 0
\n" ); document.write( "x + y + 2z = -1
\n" ); document.write( "----------------------------
\n" ); document.write( "Subtract 1st equation from the 3rd:
\n" ); document.write( "Subtract 2 times the 1st equation from the 2nd:
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "x + 3y - 6z = 7
\n" ); document.write( "0 - 7y + 14z = -14
\n" ); document.write( "0 - 2y + 8z = -8
\n" ); document.write( "---------------------------
\n" ); document.write( "Divide thru the 3rd by -2 to get:
\n" ); document.write( "----------------------------------------
\n" ); document.write( "x + 3y - 6z = 7
\n" ); document.write( "0 - 7y + 14z = -14
\n" ); document.write( "0 + y - 4z = 4
\n" ); document.write( "--------------------------
\n" ); document.write( "Add 7 times the 3rd to the 2nd:
\n" ); document.write( "Subtract 3 times the 3rd from the 1st:
\n" ); document.write( "--------------------------------
\n" ); document.write( "x + 0 + 6z = -5
\n" ); document.write( "0 + 0 - 14z = 14
\n" ); document.write( "0 + y - 4z = 4
\n" ); document.write( "---------------------------------
\n" ); document.write( "Interchange the 2nd and the 3rd to get:
\n" ); document.write( "x + 0 + 6z = -5
\n" ); document.write( "0 + y - 4z = 4
\n" ); document.write( "0 + 0 - 14z = 14
\n" ); document.write( "----------------------------------
\n" ); document.write( "Divide thru the 3rd by -14 to get:
\n" ); document.write( "x + 0 + 6z = -5
\n" ); document.write( "0 + y - 4z = 4
\n" ); document.write( "0 + 0 + z = -1
\n" ); document.write( "------------------------
\n" ); document.write( "Add 4 times the 3rd to the 2nd:
\n" ); document.write( "Subtract 6times the 3 from the 1st:
\n" ); document.write( "---------------------------------------
\n" ); document.write( "x + 0 + 0 = 1
\n" ); document.write( "0 + y + 0 = 0
\n" ); document.write( "0 + 0 + z = -1
\n" ); document.write( "---------------------------
\n" ); document.write( "x = 1
\n" ); document.write( "y = 0
\n" ); document.write( "z = -1
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
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