To analyze the scenario based on the description provided about the lines in the graph, let’s break down the statements:
- Identifying the lines and intersection:
- The first line passes through points (-2, 0) and (0, -3).
- The second line passes through points (0, 1) and (2, 0).
Given the description, the lines intersect at a single point (-4, 3).
- Evaluating the statements:
-
A. The system has infinite solutions.
- This is false, as the lines intersect at a single point.
-
B. The solutions to the system are and.
- This statement is incomplete and hence does not provide complete information.
-
C. The solution to the system is .
- This statement is also incomplete without specifying what the solution is (likely meant to say (-4, 3), based on the intersection point).
-
D. The system has no solution.
- This is false, as the lines do intersect.
-
Given that the lines intersect at a single point (-4, 3), the most accurate option, even though it's incomplete, would point to C as the correct choice for stating the solution if it were complete.
Assuming it were to say "The solution to the system is (-4, 3)", that would be true based on the description. Since the other options (A and D) are false and B is incomplete, C stands as the most relevant answer here, although it should ideally state the actual solution.
For a final selection: C (assuming it completes to point to the solution).