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Math Help - Finding solutions in integers with constraints...

  1. #1
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    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.
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  2. #2
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    Integer solutions

    Hello dcbama84
    Quote Originally Posted by dcbama84 View Post
    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.

    Grandad
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