SOLUTION: As shown in class, the Euclidean algorithm can be used to find solutions to equations of the form
\[ax + by = c.\]
Use the Euclidean algorithm to find integers $x$ and $y$ such
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Question 1207615: As shown in class, the Euclidean algorithm can be used to find solutions to equations of the form
\[ax + by = c.\]
Use the Euclidean algorithm to find integers $x$ and $y$ such that $5x + 2y = 1,$ with the smallest possible positive value of $x$.
State your answer as a list with $x$ first and $y$ second, separated by a comma.
Note that while there are many pairs of integers $x$ and $y$ that satisfy this equation, there is only one pair that comes from using the Euclidean algorithm as described in class, and this pair solves the problem.
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
By the Euclidean Algorithm, the solution is x = 1 and y = -2.
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