how do you find the difference between two integers

Question

the sum of 3 times larger of two integers and twice the smaller is -25. the difference between the integers are 5. what are the two integers

Answer 1

3L + 2S = -25

L-S = 5

L=5+S

3(5+S) + 2S =-25

15 +3S + 2S = -25

5S = -25-15 = -40

S =-40/5 = -8

L=5+S = 5-8 = -3

L =-3

numbers are -3 and -8, -3 is 5 more than -8

3(-3) + 2(-8) = -9-16 = -25