SOLUTION: Working with complex numbers and I need to find all the real numbers x and y that satisfy the equation 3x + 1 + 2yi = x – 5i Thank you.

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Question 5963: Working with complex numbers and I need to find all the real numbers
x and y that satisfy the equation 3x + 1 + 2yi = x – 5i
Thank you.
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Working with complex numbers and I need to find all the real numbers x and y
that satisfy the equation 3x + 1 + 2yi = x – 5i 
I will color all the terms which contain "i" red and those that

don't contain "i" blue.

3x + 1 + 2yi = x - 5i

Now equate only the blue terms on the left

with those on the right

3x + 1 = x

    2x = -1

     x = -1/2 


Now equate only the red terms:



2yi = –5i

  y = -5i/(2i)

  y = -5/2



Edwin