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Determine all integer solutions to 5X -7Y = 99 I have the following solution from the extended Euclidean algorithm: 5(297) - [-7(-2)] = 99 which

Determine all integer solutions to 5X -7Y = 99 I have the following solution from the extended Euclidean algorithm: 5(297) - [-7(-2)] = 99 which is a solution But for the generalized solution, I have X = 5 - 2n Y = 7 + 3n Doubting my solution at this point

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