Do the equations y=3x+5 and y=3x-5 have no, one or many solution (s) ?

Y=3x+5

y=3x-5

(I remember that paralell lines have same slope and paralell lines with different y intercepts have no solutions so I wuld say no solutions)

I will solve

set them eaqual to each other

3x+5=y=3x-5

3x+5=3x-5

subtract 5 from both sides

3x=3x-10

subtract 3x from both sides

0=-10

false

there is no solution

They will have no solutions. since the slope (3x) of both equations are the same and they have different y-intercepts (-5 and + 5) these lines are parallel and will never intersect