# Finding solutions in integers with constraints...

• April 21st 2009, 05:11 PM
dcbama84
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.
• April 21st 2009, 09:41 PM
Integer solutions
Hello dcbama84
Quote:

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.