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Math Help - multiple unknowns

  1. #1
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    multiple unknowns

    Let's say I have 3 equations:

    s = y + d * r
    r = b + d * q
    q = x + d * m

    Let's say d, q, and r are unknown.

    Is it possible to solve for d?
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  2. #2
    Super Member
    Joined
    Jan 2009
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    Quote Originally Posted by Nickmare View Post
    Let's say I have 3 equations:

    s = y + d * r
    r = b + d * q
    q = x + d * m

    Let's say d, q, and r are unknown.

    Is it possible to solve for d?
    Yes.

    replace q in the 2nd equation with the 3rd.

    r = b + d * ( x + d * m )

    replace r in the 1st equation by the above

    s = y + d * ( b + d * ( x + d * m ) )

    simplify:

    s = y + d*b + d^2 * x + d^3 * m

    thus:

    d^3 * m + d^2 * x + d*b + y - s = 0

    1 equation, 1 unknown.
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