Answer:
A
Explanation:
In a system of equations, there will be a solution when the systems intersect each other. In this question, the parabola and line does not intersect each other at all, which means they have no solutions in common.
If they were to have one intersection point (aka the parabola was a teeny bit more down, touching the line) then it would have one solution.
If they were to have two intersection points (aka the parabola would go through the line) then it would have two solutions.