1. ## Complex plane?

Solve each equation for x and y where x and y are real numbers

1+(x+y)i=y+3xi

2. Originally Posted by homeylova223
Solve each equation for x and y where x and y are real numbers

1+(x+y)i=y+3xi
Equate real and imaginary parts on each side => two simultaneous equations in x and y. Solve.

If you need more help, please show all your work and say where you're stuck.

3. What I did was
3x+y=1 and x+y=0

But I am not sure if I set it up right?

4. Originally Posted by homeylova223
What I did was
3x+y=1 and x+y=0

But I am not sure if I set it up right?
You have not. Do you even know what the real and imaginary part of each side is?

5. Well I know the form is A+bi and bi is the imaginary part? So how would it be set up?

6. Originally Posted by homeylova223
Well I know the form is A+bi and bi is the imaginary part? So how would it be set up?
The real part of 1+(x+y)i is 1. The imaginary part of 1+(x+y)i is x + y. The other side is left for you.

Personally, I don't think you're ready to attempt a question like the one you posted. I suggest you go back and thoroughly review the basic material that this question expects you to know.

7. The imaginary part of a+bi is b. Notice the imaginary part in real!. So equating real and imaginary parts yields y=1 and 3x=x+y so 2x=1 and x=1/2. You should learn the material before attempting questions.