What are the solutions of the following system? x squared plus y squared is equal to 25 2 x plus y is equal to negative 5

From 2x + y = −5, solve for y: y = −5 − 2x. Substitute into x² + y² = 25 to get x² + (−5 − 2x)² = 25, which simplifies to 5x(x + 4) = 0. Thus x = 0 or x = −4; the corresponding y-values are −5 and 3. The solutions are (0, −5) and (−4, 3), so choice A is correct.

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