document.write( "Question 306818: Solve the system of equations to the right using matrices. Use Gaussian elimination with back substitution or Gauss Jordan elimination.\r
\n" ); document.write( "\n" ); document.write( "x + y + z= 9
\n" ); document.write( "x - y - z= -7
\n" ); document.write( "x -y + z = 1\r
\n" ); document.write( "\n" ); document.write( "The solution set is [_, _, _]
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Algebra.Com's Answer #535539 by richwmiller(17219)\"\" \"About 
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\n" ); document.write( "add down (-1/1) *row 1 to row 2
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,-2,-2,-16
\n" ); document.write( "1,-1,1,1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add down (-1/1) *row 1 to row 3
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,-2,-2,-16
\n" ); document.write( "0,-2,0,-8\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide row 2 by -2/1
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,1,1,8
\n" ); document.write( "0,-2,0,-8\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add down (2/1) *row 2 to row 3
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,1,1,8
\n" ); document.write( "0,0,2,8\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "divide row 3 by 2/1
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,1,1,8
\n" ); document.write( "0,0,1,4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add up (-1/1) *row 3 to row 2
\n" ); document.write( "1,1,1,9
\n" ); document.write( "0,1,0,4
\n" ); document.write( "0,0,1,4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add up (-1/1) *row 3 to row 1
\n" ); document.write( "1,1,0,5
\n" ); document.write( "0,1,0,4
\n" ); document.write( "0,0,1,4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add up (-1/1) *row 2 to row 1
\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,4
\n" ); document.write( "0,0,1,4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "final
\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,4
\n" ); document.write( "0,0,1,4\r
\n" ); document.write( "\n" ); document.write( "x=1 y=4 z=4
\n" ); document.write( "(1,4,4)
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