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

Solution:

It is given that, 5 + yi = x + 3i

For complex numbers to be equal, the real parts must be equal and the imaginary parts must be equal.

Then we have,

5 = x for the real parts

So, x = 5

Now we have the imaginary parts,

iy = i3

y = 3

Therefore, the real numbers that make the equation true are x = 5 and y = 3.

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

Summary:

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