document.write( "Question 247180: x/3=x+10/6\r
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document.write( "I can not figure this one out!!! Can anyone please help me??? \n" );
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Algebra.Com's Answer #180368 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x/3=x+10/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "is this (x/3) = (x+10)/6 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or is this (x/3) = x + (10/6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If I follow the rules of algebra, without parentheses, it would be the second form.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assuming it is the first form, then your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x/3) = (x+10)/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 6 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 * (x/3) = 6 * (x+10) / 6 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * x = x + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract x from both sides of this equation to get x = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in original equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10/3 = 20/6 which is true so the answer of x = 10 is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assuming it is the second form, then your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x/3) = x + (10/6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 6 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 * (x/3) = 6 * (x + 10/6) which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * x = 6 * x + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 6 * x from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * x - (6 * x) = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 * x = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by (-4) to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -10/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in original equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "((-10/4)/3)) = (-10/4) + (10/6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 6 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 * ((-10/4)/3) = 6 * ((-10/4) + (10/6))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(-20/4) = (-60/4) + (60/6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5 = -15 + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5 = -5 confirming that the answer of x = -10/4 is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |