Question

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

Answer 1

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

Answer 2

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