document.write( "Question 1031933: x-2y+3z = - 4 3x+y-z=0 2x+3y-5z=1 gauss jordan elimination \n" ); document.write( "

Algebra.Com's Answer #646653 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "x - 2y + 3z = -4......(1)
\n" ); document.write( "3x + y - z = 0........(2)
\n" ); document.write( "2x + 3y - 5z = 1......(3)
\n" ); document.write( ".........
\n" ); document.write( "Using Equations (1) and (2)
\n" ); document.write( "x - 2y + 3z = -4
\n" ); document.write( "3x + y - z = 0
\n" ); document.write( "Multiply (2) by 2
\n" ); document.write( "x - 2y + 3z = -4
\n" ); document.write( "6x + 2y - 2z = 0
\n" ); document.write( "Add
\n" ); document.write( "7x + z = -4
\n" ); document.write( "............
\n" ); document.write( "Using Equations (2) and (3)
\n" ); document.write( "3x + y - z = 0
\n" ); document.write( "2x + 3y - 5z = 1
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "9x + 3y - 3z = 0
\n" ); document.write( "2x + 3y - 5z = 1
\n" ); document.write( "Subtract
\n" ); document.write( "7x + 2z = -1
\n" ); document.write( "..........
\n" ); document.write( "7x + z = -4
\n" ); document.write( "7x + 2z = -1
\n" ); document.write( "Subtract
\n" ); document.write( " -z = -3
\n" ); document.write( " z = 3
\n" ); document.write( "Substitute z = 3 into:-
\n" ); document.write( "7x + z = -4
\n" ); document.write( "7x + 3 = -4
\n" ); document.write( "7x = -7
\n" ); document.write( "x = -1
\n" ); document.write( "Substitute x = -1 and z = 3
\n" ); document.write( "into:-
\n" ); document.write( "x - 2y + 3z = -4
\n" ); document.write( "-1 -2y + 9 = -4
\n" ); document.write( "-2y = -12
\n" ); document.write( "y = 6
\n" ); document.write( "x = -1, y = 6, z = 3
\n" ); document.write( "Hope this helps :-)
\n" ); document.write( " \n" ); document.write( "

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