SOLUTION: The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the numbers. Thank you so much!

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Question 48219This question is from textbook College Algebra
: The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the numbers.
Thank you so much! This question is from textbook College Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=2(X-Y) & Y=6+2X OR X+Y=2X-2Y OR X=3Y THEN Y=6+2*3Y OR Y=6+6Y OR 5Y=-6 OR
Y=-6/5 THEN X=3(-6/5) OR X=-18/5
PROOF -6/5=6+2*-18/5 OR -6/5=6-36/5 OR
-6/5=30/5-36/5 OR -6/5 =(30-36)/5 OR -6/5=-6/5