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What do you call equations describing two or more lines
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
2 sets of Parallel lines
Horizontal : y = 0Vertical: x = -2.
They don't, they are parallel to each other.