the sum of two integers is greater than 23. one integer is 5 less than 3 times the other. what are the least values of the integers?

X + y > 23

y = 3x - 5

24 is the smallest integer greater than 23

so use x + y = 24

Rearrange

y = 24 - x

Now substitute into the other equation

24 - x = 3x - 5

Solve

29 = 4x

x=7.25 - > not an integer, round down since you want the least value

x=7

y = 3 (7) - 5

y = 16