Question

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

Answer 1

\[5 + yi = x + 3i\]
\[5=x;\qquad y=3\]

Answer 2

What ^ did is basically bring the x and y terms to one side.
\[5 + yi = x + 3i\]\[x - yi = 5 - 3i\]Then separate the real and imaginary portions since they cannot mix.
\[x = 5\]\[-yi = -3i\]\[y = 3\]

Answer 3

oh okay thank you for explaining it to me ^_^"

Answer 4

np :)