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Answer:
x-y = 2
Step-by-step explanation:
Let P(x, y) be equidistant from the points A(7, 1) and B(3, 5).
Given, AP = BP
AP²= BP²
By distance formula,
(x - 7)² + (y - 1)² = (x - 3)² + (y - 5)²
x² + 49 - 14x + y² + 1 - 2y = x² + 9 - 6x + y² + 25 - 10y
-7x + 25 - y = -3x + 17 - 5y
-4x + 8 + 4y = 0
x - y = 2
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