Question

Find the real numbers x and y that make the equation true.
-4 + yi = x + 3i
Can someone walk me through how to solve this?

Answer 1

HI!!

Answer 2

there is nothing to walk through
you have \(-4\) on the left and \(x\) on the right, so \(x=-4\)

Answer 3

you have \(yi\) on the left and \(3i\) on the right, so \(y=3\)

Answer 4

That's really simple, thank you!

Answer 5

I have an example.

Answer 6

If two complex numbers are equal,
. . their real components are equal and their imaginary components are equal.

So we have: . \begin{Bmatrix} \text{-}3 &=& x \\ y &=& 6\end{Bmatrix}