SOLUTION: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.

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Question 173888: The sum of two numbers is 15. Three times one of the numbers is 11 less than five times the other. Find the numbers.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let a and b be the two numbers
:
a+b=15....eq 1
3a=5b-11..eq 2
:
re write eq 1 to a=15-b and take a's value of 15-b and plug it into eq 2
:
3(15-b)=5b-11
:
45-3b=5b-11
:
8b=56
:
highlight%28b=7%29
:
highlight%28a=15-b=15-7=8%29