document.write( "Question 1009132: find two consecutive even integers such that three times the first equals twice the second \n" ); document.write( "
Algebra.Com's Answer #624676 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x be some integer. The expression 2x represents any even integer. The next even integer after 2x is 2x+2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so we have\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first even integer: 2x \n" ); document.write( "second even integer: 2x+2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the two even integers are as close as possible.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "three times the first equals twice the second\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*(first) = 2*(second)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3*2x = 2*(2x+2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 4x + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x - 4x = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = 2, then 2x = 2*2 = 4 and 2x+2 = 2*2+2 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The two consecutive even integers are 4 and 6 \n" ); document.write( " |