Question

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

Answer 1

-3 + yi = x + 6i

Answer 2

I need someone to take me through the steps, not just solve it please

Answer 3

First, re order the terms:
-3 + iy = 6i + x

Answer 4

Next, add 6i to each side:
-3 + -6i + iy = 6i + -6i + x

Answer 5

Then, combine like terms: 6i + -6i = 0
-3 + -6i + iy = 0 + x
-3 + -6i + iy = x

Answer 6

You mean subtract 6i from both sides?

Answer 7

-3 + yi = x + 6i
By inspection, x has to be -3 and y is 6.

Answer 8

Thanks but can you show me how you got that? I'm trying to understand it all.

Answer 9

@robtobey

Answer 10

nevermind, i get it now - thanks!