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Math Help - Can anyone help please with this system of equations

  1. #1
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    Can anyone help please with this system of equations

    If

    A + C = A
    F x D = F
    B - G = G
    A + H = E
    B / H = G
    E - G = F

    and A-H represent the numbers from 0 to 7

    Find the values of A, B, C, D, E, F and H.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Natasha1 View Post
    If

    A + C = A
    F x D = F
    B - G = G
    A + H = E
    B / H = G
    E - G = F

    and A-H represent the numbers from 0 to 7

    Find the values of A, B, C, D, E, F and H.
    what have you tried so far? as far as i can see, you can determine the values of C and D pretty easily from the first two equations. what have you tried to determine the others?
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  3. #3
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    Hint:
    A + C = A ---> C should be 0
    F x D = F ---> D should be 1
    B - G = G ----> B = 2G, so B can be: 4,6, and G = 2,3
    A + H = E
    B / H = G --->B = 2G, so 2G / H = G, so H = 2
    E - G = F

    G can't be 0,1,2 because they are taken
    G can't be 4 or more, because B would be more than 7
    Thus, G is 3
    B is 6

    Take it from there
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  4. #4
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    So, so far I have

    A + 0 = A
    F x 1 = F
    6 - 3 = 3
    A + 2 = E
    6 / 2 = 3
    E - 3 = F

    But how can i get A, E and F please?
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Natasha1 View Post
    So, so far I have

    A + 0 = A
    F x 1 = F
    6 - 3 = 3
    A + 2 = E
    6 / 2 = 3
    E - 3 = F

    But how can i get A, E and F please?
    By inspection, A = 5, E = 7, F = 4
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