# Thread: Finding solutions in integers with constraints...

1. ## Finding solutions in integers with constraints...

I can't figure out this problem for the life of me.

Find the number of solutions in integers x1,...,x5 of x1+x2+x3+x4+x5=50 subject to the constraints x1,x2>=0, x1>5, x5>15 and -2<=x4<=0.

2. ## Integer solutions

Hello dcbama84
Originally Posted by dcbama84
I can't figure out this problem for the life of me.

Find the number of solutions in integers x1,...,x5 of x1+x2+x3+x4+x5=50 subject to the constraints x1,x2>=0, x1>5, x5>15 and -2<=x4<=0.
Welcome to Math Help Forum!

If there's no restriction on $x_3$, there are infinitely many solutions.