Consider two circles in a plane. The first circle, C₁, has a radius of r₁ and is centered at point A(x₁, y₁). The second circle, C₂, has a radius of r₂ and is centered at point B(x₂, y₂). Determine the values of x₁, y₁, x₂, and y₂ for which the centers of C₁ and C₂ coincide, given that r₁ = 5 units and r₂ = 3 units.

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