Mathematics in Ancient and Medieval India c7.s5.44

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c7.s5.44

From (3), q_n u = p_n · v + c or bu = av + c (4) Evidently y = u and x = v when u = am + y, and v = bm + x, the equation (4) reduces to $by₁ = ax₁ + c$ ∴ y y₁ ( mod a ) and x = x₁ ( mod b ) hence ( x₁, y₁ ) is the least solution of (1)

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