Hi there!
Rearrange the first equation into the format y = mx + b for easier comparison:
3x - y = 6
Move 3x to the other side of the equation:
-y = -3x + 6
Multiply all terms by -1:
y = 3x - 6
In comparison to y = 3x + 5, both equations have the same "m" value, or slope.
Therefore, the lines are parallel.