SOLUTION: hi! could you help me with this word problem. thanks. the sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. find the number.

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Question 64290This question is from textbook Algebra
: hi!
could you help me with this word problem.
thanks.
the sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. find the number. This question is from textbook Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=15 OR X=15-Y
3X=5Y-11 SUBSTITUTING (15-Y) FOR X WE GET
3(15-Y)=5Y-11
45-3Y=5Y-11
-3Y-5Y=-11-45
-8Y=-56
Y=-56/-8
Y=7 SOLUTION
THEN X=15-7
X=8 SOLUTION
PROOF
3*8=5*7-11
24=35-11
24=24