document.write( "Question 208502: solve algebraically: 6x-3y+8z=4
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document.write( " -x+9y--2z=2
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document.write( " 4x+6y-4z=3\r
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document.write( "A) (5/2, 5/3, -3/4)\r
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document.write( "B) (1,-2,-1)\r
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document.write( "C) (1/2, 1/3, 1/4)\r
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document.write( "d) (5, -2, 5/4) \n" );
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Algebra.Com's Answer #158464 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! solve algebraically: \n" ); document.write( "6x-3y+8z=4 \n" ); document.write( "-x+9y--2z=2 ?? I'll assume the -- is a typo. \n" ); document.write( "4x+6y-4z=3 \n" ); document.write( "----------- \n" ); document.write( "6x-3y+8z=4 \n" ); document.write( "-x+9y-2z=2 \n" ); document.write( "4x+6y-4z=3 \n" ); document.write( "---------- \n" ); document.write( "I'll use elimination & substitution \n" ); document.write( "Since z has 2, 4 and 8 for coefficients, eliminate it \n" ); document.write( "-x+9y-2z=2 x2 --> -2x+18y-4z = 4 \n" ); document.write( "+4x+6y-4z=3 \n" ); document.write( "-2x+18y-4z=4 \n" ); document.write( "---------- Subtract \n" ); document.write( "6x-12y = -1 Eqn A \n" ); document.write( "----------- \n" ); document.write( "6x-3y+8z=4 \n" ); document.write( "-x+9y-2z=2 x4 --> -4x+36y-8z=8 \n" ); document.write( "----------- \n" ); document.write( "+6x-3y+8z=4 \n" ); document.write( "-4x+36y-8z=8 \n" ); document.write( "------------ Add \n" ); document.write( "2x+33y = 12 Eqn B \n" ); document.write( "6x-12y = -1 Eqn A \n" ); document.write( "6x+99y = 36 Eqn b x 3 \n" ); document.write( "----------- Subtract \n" ); document.write( "-111y = -37 \n" ); document.write( "y = 1/3 \n" ); document.write( "Now sub for y into Eqn A or B to find x \n" ); document.write( "2x+33y = 12 Eqn B \n" ); document.write( "2x+11 = 12 \n" ); document.write( "x = 1/2 \n" ); document.write( "------- \n" ); document.write( "Sub x & y into one of the originals to find z \n" ); document.write( "4x+6y-4z=3 \n" ); document.write( "2 + 2 -4z = 3 \n" ); document.write( "-4z = -1 \n" ); document.write( "z = 1/4 \n" ); document.write( " \n" ); document.write( " |