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Question Number 176 by 123456 last updated on 25/Jan/15
find the integer solution of 3x+4y=5
findtheintegersolutionof3x+4y=5
Answered by prakash jain last updated on 14/Dec/14
gcd(3,4)=1 and 1 divides 5 so it is solvable. Particular solution x=3, y=−1 General solution x=4k+3, y=−3k−1 where k is Integer For k=0, x=3, y=−1 k=1, x=7, y=−4 k=2, x=11, y=−7 k=−1, x=−1, y=2
gcd(3,4)=1and1divides5soitissolvable.Particularsolutionx=3,y=−1Generalsolutionx=4k+3,y=−3k−1wherekisIntegerFork=0,x=3,y=−1k=1,x=7,y=−4k=2,x=11,y=−7k=−1,x=−1,y=2

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