A graph that most likely shows a system of equations with no solutions include the following: C. graph C.
In Mathematics and Euclidean Geometry, a system of equations has no solution when both equations produce parallel lines with no common point. This ultimately implies that, a system of equations has no solution when it is inconsistent.
Generally speaking, a system of equations has no solution when it is inconsistent because the graph of the lines are parallel and do not intersect.
In this context, we can reasonably infer and logically deduce that only graph C represents a system of equations with no solutions because the curve and the straight line do not intersect.
Missing information:
Which graph most likely shows a system of equations with no solutions?