document.write( "Question 1102046: I have a question that says find 2 consecutive even integers such that their sum is equal to the difference of 3 times the larger and 2 times the smaller. \n" ); document.write( "
Algebra.Com's Answer #716674 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = first consecutive even integer \n" ); document.write( "x + 2 = second consecutive even integer {even integers are separated by 2}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + x + 2 = 3(x + 2) - 2x {their sum equals difference of 3 times larger and 2 times smaller} \n" ); document.write( "2x + 2 = 3x + 6 - 2x {combined like terms and used distributive property} \n" ); document.write( "2x + 2 = x + 6 {combined like terms} \n" ); document.write( "x = 4 {subtracted x and 2 from each side} \n" ); document.write( "x + 2 = 6 {substituted 4, in for x, into x + 2}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 and 6 are the two consecutive even integers \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |