Question 982850
Put both equations into the same form, your choice of which form, but both into THE SAME form.


---
6x-3y=2
That is simplified, now in standard form.


y-2x+4=0
-2x+y=-4
Or
2x-y=4


The system is these:
{{{system(6x-3y=2,2x-y=4)}}}
These lines are parallel.
NO points of intersection.
First one is slope {{{-6/(-3)=2}}};
Second one is  {{{-2/(-1)=2}}}.
-
No intersection.  The two lines are different, but parallel.