document.write( "Question 285948: The problem is: One number is 8 more than the second number. Twice the second number is one more than the first. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #207349 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! x = first number \n" ); document.write( "y = second number \n" ); document.write( "x = 8y :: the first number = 8 times the second number \n" ); document.write( "2y = x+1 :: twice the second number is one more than the first number \n" ); document.write( ". \n" ); document.write( "substitute x = 8y... \n" ); document.write( ". \n" ); document.write( "2y = 8y + 1 \n" ); document.write( "-6y = 1 \n" ); document.write( "y = 1/(-6) = -1/6 \n" ); document.write( ". \n" ); document.write( "x = 8y \n" ); document.write( "x = 8(-1/6) = -8/6 = -4/3 \n" ); document.write( ". \n" ); document.write( "Checking...is twice the second number = 1 more than first? \n" ); document.write( ". \n" ); document.write( "2*y = 2(-1/6) = -2/6 = -1/3 \n" ); document.write( "x+1 = -4/3 + 1 = -1/3 \n" ); document.write( "Correct \n" ); document.write( ". \n" ); document.write( "Answer: \n" ); document.write( "The numbers are x and y: \n" ); document.write( "x = -4/3, and \n" ); document.write( "y = -1/6. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |