document.write( "Question 325880: 3/(x+4)=2/(x) \n" ); document.write( "
Algebra.Com's Answer #233270 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Multiply both sides of the equation by the LCD.\r \n" ); document.write( "\n" ); document.write( "LCD = (x)(x + 4)\r \n" ); document.write( "\n" ); document.write( "[3/(x+4)] *(x)(x + 4) = (2/x) * (x)(x + 4)\r \n" ); document.write( "\n" ); document.write( "3x = 2(x + 4)\r \n" ); document.write( "\n" ); document.write( "3x = 2x + 8\r \n" ); document.write( "\n" ); document.write( "3x - 2x = 8\r \n" ); document.write( "\n" ); document.write( "x = 8\r \n" ); document.write( "\n" ); document.write( "================================================\r \n" ); document.write( "\n" ); document.write( "The Proof:\r \n" ); document.write( "\n" ); document.write( "Let x = 8\r \n" ); document.write( "\n" ); document.write( "3/(8+4)= 2/(8)\r \n" ); document.write( "\n" ); document.write( "3/12 = 2/8\r \n" ); document.write( "\n" ); document.write( "1/4 = 1/4...It checks!!\r \n" ); document.write( "\n" ); document.write( "We can now say with certainty that the right answer is x = 8.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |