Find the real numbers x and y that make the equation true.

5 + yi = x + 3i

It has to be understood that all the information's required for getting to the answer is already given. Only thing to do is to solve correctly. Let us focus on the equation given in the question.

5 + yi = x + 3i

yi - 3i = x - 5

Now let us separate the real numbers from the imaginary numbers, as they cannot mix together.

Then

yi - 3i = 0

y = 3

And

x - 5 = 0

x = 5

I hope the procedure is clear enough for you to understand. The real value of x is 5 and y is 3.