Question

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Explanation:

Identify the condition for a system of equations to have no solutions

A system of equations has no solutions graphically if and only if the graphs of the equations do not intersect at any point.

Analyze the visible graph

The visible graph shows two concentric circles centered at the origin with different radii. Since they share the same center but have different radii, they do not intersect at any point.

Determine the correct choice

Because the two circles have no points of intersection, the system of equations representing these two circles has no solutions. This graph matches the description of a system with no solutions.

Answer:

• (A) A graph showing two concentric circles that do not intersect (Correct answer)