Question 907045
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.