document.write( "Question 24763: I have worked on this problem and I do not know where I'm going wrong but I know the answer I'm coming up with is incorrect.
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document.write( "Use elimination to solve: x/3+4y=30 and 2x-y=5 I got 22/25 and -2 I just know this is incorrect. PLEASE HELP!!!!\r
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document.write( "here is another one I can not figure out: Use elimination to solve: 6x-y/4=-9
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document.write( " and 3x+2y= -30\r
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document.write( "this would be a great help. thank you :) \n" );
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Algebra.Com's Answer #13225 by daleswift(2)![]() ![]() ![]() You can put this solution on YOUR website! x/3 + 4y = 30\r \n" ); document.write( "\n" ); document.write( "2x - y = 5\r \n" ); document.write( "\n" ); document.write( "Solve for x: To eliminate the y's, multiply each side of second equation by 4 (you could also multiply each side of the first equation by 1/4) \n" ); document.write( "----------- \n" ); document.write( "so, the second equation becomes:\r \n" ); document.write( "\n" ); document.write( "4 [2x - y] = 4 [5] \n" ); document.write( "or \n" ); document.write( "8x - 4y = 20\r \n" ); document.write( "\n" ); document.write( "now, eliminate the y's and simplify:\r \n" ); document.write( "\n" ); document.write( "x/3 + 8x = 50\r \n" ); document.write( "\n" ); document.write( "3 [x/3 + 8x] = 3 [50]\r \n" ); document.write( "\n" ); document.write( "x + 24x = 150\r \n" ); document.write( "\n" ); document.write( "25x = 150\r \n" ); document.write( "\n" ); document.write( "x = 6 \n" ); document.write( "------------------------------------\r \n" ); document.write( "\n" ); document.write( "Now, solve for y by eliminating the x's. Do this by multiplying each side of the first equation by \"-6\" (or, you could also multiply both sides of the second equation by \"-1/6\")\r \n" ); document.write( "\n" ); document.write( "so,\r \n" ); document.write( "\n" ); document.write( "if you multiply both sides of the first equation by \"-6\", you will have:\r \n" ); document.write( "\n" ); document.write( " (-6) [x/3 + 4y] = (-6) [30] \n" ); document.write( "or \n" ); document.write( " -2x - 24y = -180\r \n" ); document.write( "\n" ); document.write( "Now, the two equations can be stated as:\r \n" ); document.write( "\n" ); document.write( "1) -2x - 24y = -180\r \n" ); document.write( "\n" ); document.write( "2) 2x - y = 5\r \n" ); document.write( "\n" ); document.write( "Now, combine the equations to eliminate the x's:\r \n" ); document.write( "\n" ); document.write( " -25y = -175 (if you now divide each side by \"-25\" you have):\r \n" ); document.write( "\n" ); document.write( " y = 7\r \n" ); document.write( "\n" ); document.write( "Therefore, your answer is (6,7) you can check your answer by plugging (6,7) into the two original equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |