document.write( "Question 1152439: 3x+y-4z=-6
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document.write( "2x+3y-4z=4
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document.write( "x-y+2z=-4 \n" );
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Algebra.Com's Answer #774452 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 3x+y-4z=-6 \n" ); document.write( "2x+3y-4z=4 \n" ); document.write( "x-y+ 2z=-4 \n" ); document.write( "------------ \n" ); document.write( "Multiply the 3rd eqn by 2 --> 2x - 2y + 4z = -8 \n" ); document.write( "---- \n" ); document.write( "Add that to the 1st and to the 2nd eqn. \n" ); document.write( "z is eliminated. \n" ); document.write( "You have 2 eqns in x & y. \n" ); document.write( "-------------- \n" ); document.write( " \r\n" ); document.write( "3x + y - 4z = -6\r\n" ); document.write( "2x - 2y + 4z = -8\r\n" ); document.write( "------------------------------ Add\r\n" ); document.write( "5x - y = -14 ---- Eqn A\r\n" ); document.write( "==========================\r\n" ); document.write( "2x + 3y - 4z = 4\r\n" ); document.write( "2x - 2y + 4z = -8\r\n" ); document.write( "------------------------------- Add\r\n" ); document.write( "4x + y = -4 ---- Eqn B\r\n" ); document.write( "============================\r\n" ); document.write( "5x - y = -14 ---- Eqn A\r\n" ); document.write( "4x + y = -4 ---- Eqn B\r\n" ); document.write( "-------------------------------- Add\r\n" ); document.write( "9x = -18\r\n" ); document.write( "x = -2\r\n" ); document.write( "=============\r\n" ); document.write( "4x + y = -4 ---- Eqn B\r\n" ); document.write( "-8 + y = -4\r\n" ); document.write( "y = 4\r\n" ); document.write( "=====================\r\n" ); document.write( "3x+y-4z=-6 -------- 1st eqn\r\n" ); document.write( "-6 + 4 - 4z = -6\r\n" ); document.write( "4z = 4\r\n" ); document.write( "z = 1\r\n" ); document.write( "----> (-2,4,1)\r\n" ); document.write( " \n" ); document.write( "======================================================= \n" ); document.write( "Mathlover used substitution. \n" ); document.write( "I think that takes more work (in this case) than elimination. \n" ); document.write( "------- \n" ); document.write( "I would use a matrix because I have an Excel sheet that does those, but it doesn't teach anything, just gives the answers. \n" ); document.write( " \n" ); document.write( " |