document.write( "Question 773225: I need help with a few questions. I don't understand how to solve this. 'Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number.' Please explain to me if you can how I am suppose to even start off on solving this. I am very confused. Thank you! \n" ); document.write( "
Algebra.Com's Answer #471372 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! 'Multiplying a certain even number by 4 then \n" ); document.write( "subtracting 16 gives you the next consecutive even \n" ); document.write( "number. \n" ); document.write( " \r\n" ); document.write( "We will replace the italicized words a certain \r\n" ); document.write( "even number\" with the letter n. And we have:\r\n" ); document.write( " \n" ); document.write( "'Multiplying n by 4 then subtracting 16 gives you \n" ); document.write( "the next consecutive even number. \n" ); document.write( " \r\n" ); document.write( "We will replace the italicized words with n+2, \r\n" ); document.write( "because you have to add 2 to an even number to get \r\n" ); document.write( "the next even number. And now we have:\r\n" ); document.write( " \n" ); document.write( "'Multiplying n by 4 then subtracting 16 \n" ); document.write( "gives you n+2. \n" ); document.write( " \r\n" ); document.write( "We will replace the italicized words by 4n, and \r\n" ); document.write( "we have:\r\n" ); document.write( " \n" ); document.write( "4n then subtracting 16 gives you n+2. \n" ); document.write( " \r\n" ); document.write( "We will replace the italicized words by - 16\r\n" ); document.write( "and we have:\r\n" ); document.write( " \n" ); document.write( "4n - 16 gives you n+2. \n" ); document.write( " \r\n" ); document.write( "Finally we replace the italicized words by\r\n" ); document.write( "an equal sign, \" = \", and we have:\r\n" ); document.write( "\r\n" ); document.write( "4n - 16 = n+2 <--- tada! an equation.\r\n" ); document.write( "\r\n" ); document.write( "Solve that and get n = 6\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |