x=3-3y

x+3y=-6

I'm looking for coordinates of where the two lines intercect.

If you can, please show your work :)

I know it's either (5,-2) or No Solution. But I hate not knowing how something works, and I know that if I don't find out, i'll regret it.

The lines never intersect. They are parallel.

They can be rewritten as
x + 3y = 3 and
x + 3y = -6

Obviously both cannot be simultaneously true