SOLUTION: the sum of two numbers is ten. three times the larger number is three less than eight times the smaller number. find the smaller number

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the sum of two numbers is ten. three times the larger number is three less than eight times the smaller number. find the smaller number      Log On


   

Question 907045: the sum of two numbers is ten. three times the larger number is three less than eight times the smaller number. find the smaller number
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger integer, y = smaller integer

x + y = 10
3x = 8y - 3

Substitute x = 10 - y into the second equation.

3(10 - y) = 8y - 3
30 - 3y = 8y - 3
33 = 11y
y= 3

We get (x, y) = (7, 3). The smaller number is y = 3.