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math

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find all nonnegative integer solutions of the system
x+y<8
x+t<8
t+y<8
z+t<8

  • math - ,

    if t=0, we have
    x<8
    y<8
    z<8
    x+y<8
    so, 0<x<8, y<8-x, z<8
    List them all.

    If t=1, change the 8's to 7's in the first 3 conditions.

    And so on, up to t=7:
    x<1
    y<1
    z<1
    x+y<8
    (x,y,z,t) = (0,0,0,7)

    Don't see the point of the exercise, but there it is.

  • math - ,

    sory a mistake, the corect one problem is find all nonnegative integer solutions of the system
    x+y<8
    x+Z<8
    t+y<8
    z+t<8

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