Question

Find the real numbers x and y that make the equation true.
-3 + yi = x + 6i

Answer 1

Two complex numbers are equal if and only if their real parts and equal, and their imaginary parts are equal.

so for -3 + yi = x + 6i, what is the real part of the first one?

Answer 2

-3 right?
@Crixpack

Answer 3

Correct, so what should the real part of the second complex number be?

Answer 4

1x? because 6i is imaginary

Answer 5

No, we have -3 + yi = x + 6i

ie, we have 2 complex numbers,-3 + yi

and x + 6i

we want to make them equal by choosing values for x and y,

Now the real part of the first one is -3 like you said, and the real part of the second one is x, which we have to choose a value

now like I said, 2 complex numbers are equal if their real parts are equal and their imaginary parts are equal, so if the real part of the first one is -3, what value do we have to give to x so that it is equal to -3

Answer 6

-3

Answer 7

Good, so that settles x

Now imaginary part of the first one is yi, and the second one is 6i, so what value do we have to give to y to make them equal

Answer 8

6

Answer 9

Well done :)

Answer 10

thank you (: