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Math Help - Determine the values of real numbers

  1. #1
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    Question Determine the values of real numbers

    Determine the values of reals numbers x and y such that
    (c - 3yi)(4 + i) = 10 - 23i
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  2. #2
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    Quote Originally Posted by norivea
    Determine the values of reals numbers x and y such that
    (c - 3yi)(4 + i) = 10 - 23i
    Hello,

    expand the LHS of your equation. You'll get:
    4c-12yi+ic+3y=10-23i

    Rearrange into real terms and imaginary terms. You get:

    4c+3y=10
    ci-12yi=-23i That means: c-12y=-23

    Solve this system of linear equations for c and y and you'll get
    c = 1
    y = 2

    Greetings

    EB
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