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Math Help - Complex plane?

  1. #1
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    Complex plane?

    Solve each equation for x and y where x and y are real numbers

    1+(x+y)i=y+3xi
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  2. #2
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    Quote Originally Posted by homeylova223 View Post
    Solve each equation for x and y where x and y are real numbers

    1+(x+y)i=y+3xi
    Equate real and imaginary parts on each side => two simultaneous equations in x and y. Solve.

    If you need more help, please show all your work and say where you're stuck.
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  3. #3
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    What I did was
    3x+y=1 and x+y=0

    But I am not sure if I set it up right?
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    Quote Originally Posted by homeylova223 View Post
    What I did was
    3x+y=1 and x+y=0

    But I am not sure if I set it up right?
    You have not. Do you even know what the real and imaginary part of each side is?
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  5. #5
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    Well I know the form is A+bi and bi is the imaginary part? So how would it be set up?
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    Quote Originally Posted by homeylova223 View Post
    Well I know the form is A+bi and bi is the imaginary part? So how would it be set up?
    The real part of 1+(x+y)i is 1. The imaginary part of 1+(x+y)i is x + y. The other side is left for you.

    Personally, I don't think you're ready to attempt a question like the one you posted. I suggest you go back and thoroughly review the basic material that this question expects you to know.
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  7. #7
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    The imaginary part of a+bi is b. Notice the imaginary part in real!. So equating real and imaginary parts yields y=1 and 3x=x+y so 2x=1 and x=1/2. You should learn the material before attempting questions.
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