Question: Using Euclid's algorithm, solve the equation [25]57 X = [4]57 for X Z57. Show your working. (b) Find all solutions to the equation [50]114

Using Euclid's algorithm, solve the equation [25]57 X = [4]57 for X Z57. Show your working. (b) Find all solutions to the equation [50]114 Y = [8]114 for YE Z114. Justify your answer. [Hint: for part (b) you should notice that ([50]114)- doesn't exist. Instead, write out what the equation means in terms of ordinary integers, and then relate it to part (a).]

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