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Math Help - Big System Equations

  1. #1
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    Big System Equations

    z = (90-x)
    w = (120-y)
    y = (180-x)
    x = (120 - v)
    v = 180-(240-y)


    Solve for any of them, I don't care! They all end up solving eachother..AHH is these even possible?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by stones44 View Post
    z = (90-x)
    w = (120-y)
    y = (180-x)
    x = (120 - v)
    v = 180-(240-y)


    Solve for any of them, I don't care! They all end up solving eachother..AHH is these even possible?
    Ooooooooooookay then. I presume these are simultaneous?

    The bottom equation is already solved for v, so substitute this into the other equations:
    v = 180 - (240 - y) = y - 60

    z = (90-x)

    w = (120-y)
    y = (180-x)
    x = (120 - [y - 60]) = 180 - y

    The w equation is already solved for w so substitute this into the others (which don't depend on w anyway):
    v = y - 60
    w = 120 - y

    y = (180-x)
    x = 180 - y

    Again, the x equation is already solved for x so:
    v = y - 60
    w = 120 - y
    x = 180 - y

    y = (180 - [180 - y]) = y

    So any value of y solves this. So your solution set is:
    v = y - 60
    w = 120 - y
    x = 180 - y
    and y is any number.

    -Dan
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