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.

Algebra ->  Systems-of-equations -> 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.      Log On


   



Question 16280: 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 iryneigh(1) About Me  (Show Source):
You can put this solution on YOUR website!
let x=1st number
let y= 2nd number
x + y = 15
x = 15 - y eq. 1
3x = 5y - 11 eq. 2
Substitute eq. 1 to eq. 2
3(15 - y) = 5y -11
45 - 3y = 5y -11
45 + 11 = 5y + 3y
56 = 8y
y = 56/8
y = 7
Subst. to eq. 1
x = 15 - 7
x = 8