document.write( "Question 819457: Can you help me solve this 3x3 equation:
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document.write( "2x+y-z=3
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document.write( "2x+2y-z=-1
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document.write( "-x-y+z=4 \n" );
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Algebra.Com's Answer #493117 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2x +y -z =3 \n" ); document.write( "2x +2y -z =-1 \n" ); document.write( "-x -y +z =4 \n" ); document.write( "--------------- \n" ); document.write( "Make the 3rd row the 1st row: \n" ); document.write( "----------------- \n" ); document.write( "-x -y -z = 3 \n" ); document.write( "2x +y -z = 3 \n" ); document.write( "2x +2y -z = -1 \n" ); document.write( "-------- \n" ); document.write( "Add 2 times the 1st row to the 2nd and to the 3rd rows. \n" ); document.write( "-x-y +z = 3 \n" ); document.write( "0 -y -3z = 9 \n" ); document.write( "0 +0 -3z = 5 \n" ); document.write( "------- \n" ); document.write( "Solve the 3rd row for \"z\": \n" ); document.write( "z = -5/3 \n" ); document.write( "-------- \n" ); document.write( "Substitute into the 2nd row and solve for \"y\": \n" ); document.write( "-y -3*(-5/3) = 9 \n" ); document.write( "-y + 5 = 9 \n" ); document.write( "y = -4 \n" ); document.write( "-------------- \n" ); document.write( "Substitute into the 1st row and solve for \"x\": \n" ); document.write( "-x -(-4) -(-5/3) = 3 \n" ); document.write( "-x + 12/3 +(5/3) = 3 \n" ); document.write( "-x + (17/3) = (9/3) \n" ); document.write( "x = 8/3 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( "============================\r \n" ); document.write( "\n" ); document.write( "-------- \n" ); document.write( " \n" ); document.write( " |