document.write( "Question 1027031: Explain why the distributive property is necessary in order to solve rational equations such as x+3 over 5 = 2x-1 over 2 \n" ); document.write( "
Algebra.Com's Answer #642335 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+3) / 5 = (2x-1) / 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get 2 * (x+3) = 5 * (2x-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have to use the distributive law of multiplication in order to simplify this equation so you can solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will get 2x + 6 = 10x - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 5 to both sides of this equation and subtract 2x from both sides of this equation to get 6 + 5 = 10x - 2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 11 = 8x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both side of this equation by 8 to get 11/8 = x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could not do the simplification necessary to isolate the x terms without using the distributive law of multiplication.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |