Solve the system. Use any method you wish. List all the solutions. Select the correct choice below and fill in any answer boxes in your choice. \( \begin{array}{l}\text { A. The solution(s) is/are } \\ 3 x^{2}+y^{2}=9\end{array} \) (Type an ordered pair. Use a comma to separate answers as needed.) B. There is no solution.

To solve the equation \(3x^2 + y^2 = 9\), we can rewrite it in a more familiar form. Divide the entire equation by 9 to yield \(\frac{x^2}{3} + \frac{y^2}{9} = 1\). This represents an ellipse centered at the origin with a semi-major axis of 3 along the y-axis and a semi-minor axis of \(\sqrt{3}\) along the x-axis. The solutions can be represented in the form of ordered pairs \((x, y)\) that satisfy the ellipse equation. Specific solutions include points like \((0, 3)\), \((\sqrt{3}, 0)\), and \((-1, \sqrt{6})\), among many others. Thus, the solutions are not limited to a singular point, and there are infinite points that satisfy the condition given by the ellipse. So, the answer is: A. The solution(s) is/are \( (x,y) \) such that \( 3x^2 + y^2 = 9 \).