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
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document.write( "x + 3y - 6z = 7
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document.write( "2x - y + 2z = 0
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document.write( "x + y + 2z = -1\r
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document.write( "Any help would be appreciated.\r
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #157496 by stanbon(75887)![]() ![]() ![]() 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( " \n" ); document.write( " |