document.write( "Question 626982: solve 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18\r
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document.write( "can someone show how they got the answer please, ty \n" );
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Algebra.Com's Answer #394565 by stanbon(75887) ![]() You can put this solution on YOUR website! solve \n" ); document.write( "2x-y+z=-7 \n" ); document.write( "x-3y+4z=-19 \n" ); document.write( "-x+4y-3z=18 \n" ); document.write( "---------------- \n" ); document.write( "Rearrange the equations \n" ); document.write( "x-3y+4z = -19 \n" ); document.write( "-x+4y-3z= 18 \n" ); document.write( "2x-y+z = -7 \n" ); document.write( "------ \n" ); document.write( "Add 1st to 2nd \n" ); document.write( "Subtract 2 times 1 from 3rd to get: \n" ); document.write( "x - 3y + 4z = -19 \n" ); document.write( "0 + y + z = -1 \n" ); document.write( "0 + 5y - 7z = 41 \n" ); document.write( "-------------------- \n" ); document.write( "Subtract 5 times 2nd from 3rd to get: \n" ); document.write( "x - 3y + 4z = -19 \n" ); document.write( "0 + y + z = -1 \n" ); document.write( "0 + 0 - 12z = 36 \n" ); document.write( "--------------------- \n" ); document.write( "Solve the 3rd equation for \"z\": \n" ); document.write( "z = -3 \n" ); document.write( "----- \n" ); document.write( "Substitute z = -3 into the 2nd equation \n" ); document.write( "and solve for \"y\": \n" ); document.write( "y = 2 \n" ); document.write( "---- \n" ); document.write( "Substitute z = -3 and y = 2 into the 1st equation \n" ); document.write( "and solve for \"x\": \n" ); document.write( "x -3*2 + 4*-3 = -19 \n" ); document.write( "x -6 -12 = -19 \n" ); document.write( "x = -1 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " \n" ); document.write( " |