SOLUTION: Find the real numbers x and y that make the equation true. 5 + yi = x + 3i

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Question 764627: Find the real numbers x and y that make the equation true.
5 + yi = x + 3i

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
(1) 5 + iy = x + i3
In order for complex numbers to be equal the real parts have to be equal and the imaginary parts have to be equal. For (1) we have
(2) 5 = x for the real parts, therefore
(3) x = 5
And for the imaginary parts we have
(4) iy = i3, therefore
(5) y = 3
Answer: x = 5 and y = 3.