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

The solution to your problem is as follows:

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

x = 5 and y = 3.
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