Divisibility | Part 9| Linear Diophantine Equation and it's solution

[@juanjaimescontreras1798]

Excellent video on Diophantine equation!!!! Thnak you!!!!

[@babool2050]

Burton book
Problems 4.4
3. Find all solutions of the linear congruence 3x - 7y = 11 (mod 13)
Problems 2.3
21. Prove that if d/n then 2^d -1/2^n -1 .
Ma'am make a video plz upload...... 🙏🙏🙏🙏

[@IODell]

Thank you for the informative video.

[@gurinderkaur3564]

No. Of solutions if gcd (a,b)=1 ????

[@dhanukavithana9990]

thank you for information

[@samudralashanmukrao2185]

Mam you written x=x0+(b/d)t
My mam tell x=x0-(b/d)t
Which one is correct mam ??

[@MathPod]

if you take other way, then value of y will get change, so either consider x=x0+(b/d)t, y=y0-(a/d)t; or consider x=x0-(b/d)t, y=y0+(a/d)t.

[@madhujyaborah9544]

Thank You So much.......................

[@Tareq--ri6qe]

Thanks ❣️

[@juanjaimescontreras1798]

Question: if d=GCF(a,b) implies d=ax+by ( a linear combination) why is that? is by Euclidean Algorithm!!!! Thanks.

[@MathPod]

Its extended Euclidean Algorithm.

[@mdselim978]

Thanks a lot mam.

[@markcarranza2032]

thank you