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find the least positive integral solution of x and y in 396x-763y=12

find the least positive integral solution of x and y in 396x-763y=12

Grade:10

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
Please find the answer to your questions below
Given 396x-763y=12
x-79(12)=763t and y-41(12)=396t
for some integer t. This gives all solutions, and the
smallest solution in natural numbers x, y is obtained by
taking t = -1 and turns out to be (185,96).

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