document.write( "Question 888524: I need help solving this system. Thank you.
\n" ); document.write( "2x - y - z = 1
\n" ); document.write( "x + 2y + z = 0
\n" ); document.write( "3x - y - 2z = -1
\n" ); document.write( "

Algebra.Com's Answer #537431 by richwmiller(17219)\"\" \"About 
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2x - y - z = 1
\n" ); document.write( "x + 2y + z = 0
\n" ); document.write( "3x - y - 2z = -1\r
\n" ); document.write( "\n" ); document.write( "2,-1,-1,1
\n" ); document.write( "1,2,1,0
\n" ); document.write( "3,-1,-2,-1\r
\n" ); document.write( "\n" ); document.write( "divide row 1 by 2/1
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "1,2,1,0
\n" ); document.write( "3,-1,-2,-1\r
\n" ); document.write( "\n" ); document.write( "add down (-1/1) *row 1 to row 2
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,5/2,3/2,-1/2
\n" ); document.write( "3,-1,-2,-1\r
\n" ); document.write( "\n" ); document.write( "add down (-3/1) *row 1 to row 3
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,5/2,3/2,-1/2
\n" ); document.write( "0,1/2,-1/2,-5/2\r
\n" ); document.write( "\n" ); document.write( "divide row 2 by 5/2
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,1,6/10,-2/10
\n" ); document.write( "0,1/2,-1/2,-5/2\r
\n" ); document.write( "\n" ); document.write( "add down (-1/2) *row 2 to row 3
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,1,3/5,-1/5
\n" ); document.write( "0,0,-16/20,-48/20\r
\n" ); document.write( "\n" ); document.write( "divide row 3 by -4/5
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,1,3/5,-1/5
\n" ); document.write( "0,0,1,3
\n" ); document.write( "z=3
\n" ); document.write( "We now have the value for the last variable.
\n" ); document.write( "We will work our way up and get the other solutions.\r
\n" ); document.write( "\n" ); document.write( "add up (-3/5) *row 3 to row 2
\n" ); document.write( "1,-1/2,-1/2,1/2
\n" ); document.write( "0,1,0,-2
\n" ); document.write( "0,0,1,3
\n" ); document.write( "y=-2
\n" ); document.write( "add up (1/2) *row 3 to row 1
\n" ); document.write( "1,-2/4,0,2
\n" ); document.write( "0,1,0,-2
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "\n" ); document.write( "add up (1/2) *row 2 to row 1
\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,-2
\n" ); document.write( "0,0,1,3
\n" ); document.write( "x=1
\n" ); document.write( "final
\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,-2
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "\n" ); document.write( "x=1
\n" ); document.write( "y=-2
\n" ); document.write( "z=3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
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