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Math Help - Find the values that make the equation true

  1. #1
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    Find the values that make the equation true

    Find the values of s and t that make the equation true.

    This example is given. i is the imaginary √-1.

    6 + 12i = 2s + 3ti

    The solution solves this equation in 2 parts.
    ________

    6=2s
    3=s
    ________

    12=3t
    4=t
    ________
    Answer: s=3, t=4.


    How to solve this question based on the example.

    3s - 2t + 2si + 3ti = 11 + 3i

    Please help. Thanks.
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  2. #2
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    Quote Originally Posted by shenton View Post
    Find the values of s and t that make the equation true....

    How to solve this question based on the example.

    3s - 2t + 2si + 3ti = 11 + 3i

    ...
    Hello, shenton,

    as in the example you separate real and imaginary numbers:

    3s - 2t = 11
    (2s + 3t)i = 3i, that means: 2s + 3t = 3

    I don't know which method you use to solve this system of equations, the solution should be: s = 3, t = -1

    EB
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  3. #3
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    Quote Originally Posted by earboth View Post

    as in the example you separate real and imaginary numbers:

    3s - 2t = 11
    (2s + 3t)i = 3i, that means: 2s + 3t = 3
    Thanks for showing how to derive the equations.

    Using elimination, I reach to the same answer, s = 3, t = -1.

    Thanks for showing "how".
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