If d is the HCF of 56 and 72 , find x,y satifiying d=56x + 72y . Also , show that x and y are not unique ....

Here is the link of the answer of the similar query:

 

https://www.meritnation.com/ask-answer/question/if-d-is-the-hcf-of-4527-find-x-y-satisfying-d-27x-45y/polynomials/1316789

 

Preceding in the same way as in the above link, you will get x=4 and y= – 3.

We can find the another values of x and y which satisfies the given equation as:

We have,  8  =  4×56 + (-3)×72 =  4×56 + (-3)×72 + 56×72 - 56×72 = (4+72)×56 + (-3-56)×72= 76×56 + (-59)×72So,  (x,y) = (76,-59) is another solution.

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