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Math Help - fasilities

  1. #1
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    fasilities

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  2. #2
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    Quote Originally Posted by dapore View Post

    What do you mean by facilities?
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  3. #3
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    Hello, dapore!


    What does "facilities" mean?

    If it means "equals", there is no solution.


    \text{If }\;\frac{3-2i}{i}\;\text{ facilities }\:\frac{x-5y}{1+5i},\;\text{ find }x,y

    Rationalize the left side:

    . . \frac{3-2i}{i}\cdot\frac{-i}{-i} \:=\:-2-3i .[1]


    Rationalize the right side:

    . . \frac{x-5y}{1+5i}\cdot\frac{1-5i}{1-5i} \;=\; \frac{(x-5y) - 5(x-5y)i}{26}<br />
.[2]


    Equate [1] and [2]: . -2-3i \;=\;\frac{(x-5y) - 5(x-5y)i}{26}

    . . -52 - 78i \;=\;(x-5y) - 5(x-5y)i


    Equate real and imaginary components:

    . . \begin{array}{ccc}x - 5y &=& -52 \\ -5(x-5y) &=& -78 \end{array}


    The system: . \begin{Bmatrix}x-5y &-& -52 \\ x-5y &=& \frac{78}{5}\end{Bmatrix} .is inconsistent.

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  4. #4
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    Quote Originally Posted by sa-ri-ga-ma View Post
    What do you mean by facilities?
    x+yi is fasilities for x-yi
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