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Math Help - Another solving question

  1. #1
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    Another solving question

    Hi
    Can someone tell me how i can solve the following:

    1)Solve x+iy=(2y+1)+(x-7)i for real values x and y.
    This is what i have done:
    x+iy=2y+1+ix-7i
    7i-1=y(2+i)+x(i-1)

    2)Solve 2x+(y+4)i=(3+2i)(2-i) for real values x and y.

    P.S
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  2. #2
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    Quote Originally Posted by Paymemoney View Post
    Hi
    Can someone tell me how i can solve the following:

    1)Solve x+iy=(2y+1)+(x-7)i for real values x and y.
    This is what i have done:
    x+iy=2y+1+ix-7i
    7i-1=y(2+i)+x(i-1)

    2)Solve 2x+(y+4)i=(3+2i)(2-i) for real values x and y.

    P.S
    1. x + iy = (2y + 1) + (x - 7)i.

    Equating real and imaginary parts gives:

    x = 2y + 1
    y = x - 7.

    Solve these equations simultaneously.


    2. 2x + (y + 4)i = (3 + 2i)(2 - i)

    2x + (y + 4)i = 6 - 3i + 4i - 2i^2

    2x + (y + 4)i = 6 + i + 2

    2x + (y + 4)i = 8 + i.


    Equating real and imaginary parts:

    2x = 8
    y + 4 = 1.

    Solve these equations.
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  3. #3
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    Quote Originally Posted by Paymemoney View Post
    Hi
    Can someone tell me how i can solve the following:

    1)Solve x+iy=(2y+1)+(x-7)i for real values x and y.
    This is what i have done:
    x+iy=2y+1+ix-7i Mr F says: Now equate real and imaginary parts:

    x = 2y + 1 .... (1)
    y = x - 7 .... (2)

    Solve the above equations simultaneously.

    [snip]

    2)Solve 2x+(y+4)i=(3+2i)(2-i) for real values x and y.

    P.S
    For 2) expand the right hand side and then use the same approach as 1).
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