Select the correct answer. Which statement about this system of equations is true? A diagonal curve rises through (negative 5, 4 point 1), (negative 3, 5), (0, 6), (3, 7) and (6, 8). A diagonal curve rises through (negative 6, 6), (negative 5, 3), (0,

To determine the correct answer about the system of equations represented by the two diagonal curves, we can analyze the key features of the curves: - The first curve rises through the points given (negative 5, 4.1), (negative 3, 5), (0, 6), (3, 7), and (6, 8). - The second curve rises through the points (negative 6, 6), (negative 5, 3), (0, 4), (3, -3), and (5, -2.1). Let's examine: 1. **Intersection Points**: Identify if the two curves intersect anywhere. This will help us figure out the nature of the solutions. A unique solution occurs if they intersect at exactly one point. 2. **Specific Points**: - The point (0, 6) is on the first curve but not on the second curve. - The point (0, -4) is not mentioned in relation to either curve and hence cannot be a solution. Since there are no overlapping points that the two curves meet, we can conclude the following: - **If they do not intersect** at any point, then the system has no solution. Based on this reasoning, the correct answer is: **A. The system has no solution.**