document.write( "Question 217497: Given any positive even integer, x, the positive difference between the smallest odd number greater than 7x − 2 and the largest odd number less than 3x + 5 can be written in the form ax + b. What is a + b? \n" ); document.write( "
Algebra.Com's Answer #163972 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Given x is an even integer,,,7x-2 is also even,,,smallest odd integer larger is 7x-2 +1 = 7x-1 \n" ); document.write( ". \n" ); document.write( "3x+5 is odd integer,,,,,largest odd number less is,,,,,3x+5 -2 = 3x+3 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "(7x-1)-(3x+3) = 4x -4,,,,,ax+b \n" ); document.write( ". \n" ); document.write( "a=4,,,,b=-4,,,,,,,a+b = 0 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |