Asked by Dallas
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 $266x + 357y = 1,$ 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.
ax + by = c
Use the Euclidean algorithm to find integers $x$ and $y$ such that $266x + 357y = 1,$ 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.
Answers
Answered by
GPT 3.5
(-37, 27)
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