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Solve an equation

  1. Mar 14, 2008 #1
    Given z = x + iy
    find x and y if
    1 + z = 3 - 2i
    I tried subbing x+iy into z and solving but all i got was x = y.
    The answer in the back is x=2 y=-2
  2. jcsd
  3. Mar 14, 2008 #2


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    Separate 1+(x+iy)=3-2i into real and imaginary parts. They have to be equal separately.
  4. Mar 14, 2008 #3
    so is it just x+iy=2-2i ?
  5. Mar 14, 2008 #4
    yeah and from here x=2, y=-2, because like Dick said the real part and the imaginary part on both sides has to be equal. Like
    [tex]a+bi=c+di<=>a=c, \ \ and \ \ b=d[/tex]
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