Question

The graph of a system of parallel lines has no solutions.

Always

Sometimes

Never

Answer 1

always

Answer 2

Two parallel lines will never intersect. You have to have intersecting lines (or the same line) to have a solution. So, the parallel lines are unable to have solutions.

Always is the correct answer!

Answer 3

Sometimes

Answer 4

If they are on top of each other then there are an infinite amount of solutions and when they don't there are no solutions

Answer 5

Sometimes, because two parallel lines can occupy the same space.

Answer 6

but, by definition, parallel lines are lines that 'never meet'?

if they were at the exact same place, they'd be the same line... or at least that's how I always learned it.

Answer 7

idk which one to pick..

Answer 8

actually the definition of parallel lines is that they have the same slope. they can however occupy the same place in which case they will meet. If they do not occupy the same place then it is true that they will never meet. An example of two seperate lines that occupy the same space is
2x + 3y = 1
4x + 6y = 2
these lines are parallel also represent infinite solution sets to the system

Answer 9

so sometimes?

Answer 10

yes, the correct answer is sometimes