y = 5x + 6
-18x + 3y = -54
First, let us isolate y in the second equation:
-18x + 3y = -54
3y = 18x - 54
y = 6x -18
Now we have:
y = 5x + 6
y = 6x -18
Parallel lines have the same slope; in our equations, 5 and 6 are the slopes. They are not the same.
Answer:
No, since the slopes are different.
Hope this helps.