document.write( "Question 148510: Solve by the elimination method
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document.write( "7r - 4s = 24
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document.write( "4r + 7s = 88
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document.write( "What is the solution of the system???\r
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document.write( "Solve 8x - (6x + 6) =8
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document.write( "The solution is x=?? \n" );
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Algebra.Com's Answer #108833 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! 1. Solve by the elimination method \n" ); document.write( "7r - 4s = 24 \n" ); document.write( "4r + 7s = 88 \n" ); document.write( "What is the solution of the system???\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First of all, you have to make something that you can eliminate. Multiply the second equation by 7/4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7r - 4s = 24 \n" ); document.write( "7r + 49/4s = 154\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now subtract the second equation from the first and get\r \n" ); document.write( "\n" ); document.write( "33/4s=154\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mulitply both sides by 4/33\r \n" ); document.write( "\n" ); document.write( "s=616/33 \n" ); document.write( "or 18.666666\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug that back into the first equation and get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7r - 4(616/33) = 24 \n" ); document.write( "or 7r-74.666664=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 74.666664 to both sides and get \n" ); document.write( "7r=98.666667\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 7 and get \n" ); document.write( "r=14.095237 \n" ); document.write( "-------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "2. Solve 8x - (6x + 6) =8 \n" ); document.write( "The solution is x=??\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x-(6x+6)=8 \n" ); document.write( "8x-(6x+6)=8x-6x-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So 8x-6x-6=8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms \n" ); document.write( "2x-6=8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 6 to both sides \n" ); document.write( "2x=14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 2 \n" ); document.write( "x=7 \n" ); document.write( " |