Question

Solve for x and y.
3x−y+19i=1+(2x+3y)i

Answer 1

I'm confused on where to start.

Answer 2

Imaginary number

Answer 3

ohh ok, than that makes stuff complicated.

Answer 4

Exactly

Answer 5

The real parts, and the imaginary parts, on each side need to be equal.

The real part on the left is 3x-y. It needs to be equal to the real part on the right, which is 1.

The imaginary part on the left is 19. It needs to be equal to the imaginary part on the right, which is 2x+3y.

Answer 6

Okay I understand that

Answer 7

3x-y=1
(2x+3y)i=19i

Answer 8

Now what? Do I plug in y?

Answer 9

Y=3x-1

Answer 10

19-2x=3y

Answer 11

19-2x=3(3x-1)

Answer 12

?

Answer 13

Yes, solve for x. Then you can use it to find y.

Answer 14

X=2

Answer 15

Y=5

Answer 16

Thank you so much