document.write( "Question 412829: One number is 4 more than another number. Find the two numbers if two times the larger number is 7 less than five times the smaller number. \n" ); document.write( "
Algebra.Com's Answer #289873 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"One number is 4 more than another number. Find the two numbers if two times the larger number is 7 less than five times the smaller number.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = one number \n" ); document.write( "x + 4 = other number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(x + 4) = 5x - 7 {two times larger is seven less than 5 times smaller} \n" ); document.write( "2x + 8 = 5x - 7 {used distributive property} \n" ); document.write( "2x = 5x - 15 {subtracted 8 from both sides} \n" ); document.write( "-3x = -15 {subtracted 5x from both sides} \n" ); document.write( "x = 5 {divided both sides by -3} \n" ); document.write( "x + 4 = 9 {substituted 5, in for x, into x + 4} \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The two numbers are 5 and 9. \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |