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Math Help - nid Help on determining A, B, C, and D T_T

  1. #1
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    nid Help on determining A, B, C, and D T_T

    6 = 2A + 4C
    -15 = -9A + B - 12C + 4D
    9 = 12A - 4B + 9C - 4D
    3 = -4A + 4B - 2C + D

    I just need any possible method to solve this problem
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  2. #2
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    6 = 2A + 4C
    -15 = -9A + B - 12C + 4D
    9 = 12A - 4B + 9C - 4D
    3 = -4A + 4B - 2C + D
    I just need any possible method to solve this problem
    Hello,
    I don't know which method you know to solve a system of linear equations. So I'm going to show you, how I solve this system:
    1. From the 1rst equation you get: a = 3-2C
    Plug in this term instead of a in the remaining 3 equations. After a little bit of simplifying you'll get:
    b+ 6c+4d = 12
    -4b-15c-4d = -27
    4b+ 6c+ d = 15

    2. From the 1rst equation you get: b = 12-6c-4d
    Plug in this term instead of b in the remaining 2 equations. After a little bit of simplifying you'll get:

    9c + 12d = 21
    -18c-15d = -33

    This system is easy to solve. I'll leave it up to you.

    The final result is (a,b,c,d) = (1, 2, 1, 1)

    Greetings

    EB
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