document.write( "Question 163641: 1/6x + 1/2 = 2/6, solve x
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document.write( "Please help me solve this equation. THanks \n" );
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Algebra.Com's Answer #120539 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! 1/6x + 1/2 = 2/6 \n" ); document.write( "multiply both sides of the equation by 6x to remove the denominator. \n" ); document.write( "equation becomes \n" ); document.write( "1*6x/6x + 1*6x/2 = 2*6x/6 \n" ); document.write( "which becomes \n" ); document.write( "1 + 6x/2 = 12x/6 \n" ); document.write( "which becomes \n" ); document.write( "1+3x = 2x \n" ); document.write( "subtracting 2x from both sides of the equation and it becomes \n" ); document.write( "1+x = 0 \n" ); document.write( "subtracting 1 from both sides of the equation and it becomes \n" ); document.write( "x = -1 \n" ); document.write( "answer is x = -1 \n" ); document.write( "----- \n" ); document.write( "another way to solve is as follows: \n" ); document.write( "1/6x + 1/2 = 2/6 \n" ); document.write( "subtracting 1/2 from both sides of the equation and it becomes \n" ); document.write( "1/6x = 2/6 - 1/2 \n" ); document.write( "right side of equation becomes 2/6 - 3/6 (1/2 is the same as 3/6) \n" ); document.write( "equation then becomes \n" ); document.write( "1/6x = (2-3)/6 = -1/6 \n" ); document.write( "multiplying both sides of the equation by 6x gets \n" ); document.write( "6x/6x = 6x*(-1/6) \n" ); document.write( "which becomes \n" ); document.write( "1 = -6x/6 \n" ); document.write( "which becomes \n" ); document.write( "1 = -x \n" ); document.write( "which becomes \n" ); document.write( "x = -1 after you multiply both sides of the equation by -1. \n" ); document.write( "answer is x = -1 \n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |