# Math Help - Cartesian equation

1. ## Cartesian equation

How do i solve this:

What is the Cartesian equation for the region represented by

Re((8-i) z +3) = 0

Thanks

2. Hello,

Originally Posted by taurus
How do i solve this:

What is the Cartesian equation for the region represented by

Re((8-i) z +3) = 0

Thanks
Write $z=x+iy$, x and y are real numbers.

-> $(8-i)z=(8x+y)+i(y-x)$

-> $(8-i)z+3=(8x+y+3)+i(y-x)$

--> $Re((8-i)z+3)=8x+y+3$

----> $\boxed{8x+y+3=0}$

3. So your first step you expanded brackets yes?
so
> (8-i)z
> (8-i)(x+iy)
> 8x + 8y - ix - iy = 8(x+y) - i(x-y)

Which doesnt look like yours. What am i doing wrong?

4. Originally Posted by taurus
So your first step you expanded brackets yes?
so
> (8-i)z
> (8-i)(x+iy)
> 8x + 8y - ix - iy = 8(x+y) - i(x+y)

Which doesnt look like yours. What am i doing wrong?
I'm doing wrong

Sorry, a little mistake. You're right