A Question

[Guest]

Hello My friends,
I have a question,
x1 + x2 + x3 + x4 = 37 equation 0 ≤ x1, x2 ≤ 0, 0 ≤ x3 ≤ 5 and 0 ≤ x4 ≤ 7
so
how many integer solutions are there?
Can you help me
Thank you

[Guest]

There are an infinite number of solutions.

Anything of the form:
x1 = 37+n
x2 = -n
x3 = 0
x4 = 0
is an integer solution when n is a positive integer. There are infinite choices of positive integer n and so there are infinite solutions.

Hope that helped,

R. Baber.

[Guest]

Thank you very much for your help.