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Simplifying 2(x2 + y2) = 2025 (x2 * 2 + y2 * 2) = 2025 (2x2 + 2y2) = 2025 Solving 2x2 + 2y2 = 2025 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = 2025 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = 2025 + -2y2 2x2 = 2025 + -2y2 Divide each side by '2'. x2 = 1012.5 + -1y2 Simplifying x2 = 1012.5 + -1y2 Reorder the terms: -1012.5 + x2 + y2 = 1012.5 + -1y2 + -1012.5 + y2 Reorder the terms: -1012.5 + x2 + y2 = 1012.5 + -1012.5 + -1y2 + y2 Combine like terms: 1012.5 + -1012.5 = 0.0 -1012.5 + x2 + y2 = 0.0 + -1y2 + y2 -1012.5 + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -1012.5 + x2 + y2 = 0 The solution to this equation could not be determined.
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