Question

The sum of two integers is 5 their difference is 3 what are the two integers

Answer 1

You could solve it by trial and error but using algebra:

A) X + Y = 5
B) X - Y = 3
Adding both equatios
2X = 8
X = 4
Since
X - Y = 3
then
Y = 1

Answer 2

X+y=5
x-y=3

x=3+y
(3+y)+y=5
2y+3=5
2y=2

y=1
x=4

The answer is 1 and 4