The system have zero solution.
What are parallel lines?
Two lines are said to be parallel if they do not intersect each other at any point in the plane.
Let the equation of the line,
y-y₁=y₂-y₁/(x₂-x₁)(x-x₁)
Since, line goes through (0, 4) and (4, 6)
y-6=4-6/(0-4)(x-4)
y=2x-2
Another line goes through (0, 0) and (2, 1)
2y = x
Since, both lines are not intersect each other, so the system have zero solution.
Hence, the system have zero solution.
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