Use the graph to identify the solution to the system of equations or identify that the system has $0$ or infinitely many solutions. If there is a solution, check that the point satisfies both equations.

• A. $(0,3)$
• B. $(-3,3)$
• C. No Solution
• D. Infinitely many solutions

Answer: (A)

Verified step by step guidance

1. Step 1: Identify the point where the two lines intersect on the graph. This point represents the solution to the system of equations because it satisfies both equations simultaneously.
2. Step 2: From the graph, observe that the lines intersect at the point where \(x = 0\) and \(y = 3\). So, the intersection point is \((0, 3)\).
3. Step 3: To verify this solution, substitute \(x = 0\) and \(y = 3\) into both equations of the system (if given) to check if both equations hold true.
4. Step 4: If the point satisfies both equations, then \((0, 3)\) is the unique solution to the system.
5. Step 5: If the lines did not intersect, the system would have no solution, and if the lines coincided (overlapped), the system would have infinitely many solutions.