Answer: They are not parallel, they are coincident
Step-by-step explanation:
If two lines have the same slope but a different y-intercept, the lines are parallel. If two lines have the same slope and the same y-intercept, the lines are coincident.
We can rewrite 5x−y=−5 adding -5x to both sides and multiplying by -1:
5x - y =-5
5x - y -5x = -5 - 5x (adding -5x to both sides)
-y = -5 - 5x
Multiplying by -1
y = 5x + 5
Both equations look the same so they are coincident. They have the same intercept y=5 and the same slope m=5.
