which graph shows a system of equations with exactly one solution?

Explanation:

Step1: Recall solution concept

The solution of a system of equations is the point(s) of intersection of the graphs of the equations. A system has exactly one solution when the graphs intersect at exactly one point.

Step2: Analyze given graphs

The first graph shows two concentric circles which do not intersect, so no - solution. The second graph (not fully shown but assuming it's a single - curve) doesn't represent a system of equations in a way to determine a single intersection point. However, in general, for a system of equations to have exactly one solution, the graphs of the equations (e.g., two lines, a line and a curve etc.) should cross at one point. Since the question seems incomplete in terms of showing all options, we assume the correct graph would be one where two curves or lines cross at a single point. But based on the given graphs, we can't determine the answer from these two. If we had a graph of two non - parallel lines intersecting at a single point, that would be the answer.

Since the question seems to be missing options for a proper answer, we can't provide a definite answer. But the key concept is that the graphs of the equations in the system must intersect at exactly one point for the system to have exactly one solution.

Answer:

Insufficient information to determine from given graphs.