Based on the type of equations in the system, what is the greatest possible number of solutions? x squared plus y squared is equal to 9 9 x plus 2 y is equal to 16

The equation x² + y² = 9 represents a circle, and 9x + 2y = 16 represents a line. A line can intersect a circle in at most two points, so the greatest possible number of solutions is 2. The correct choice is B, 2.

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