Which-of-the-following-linear-diophantine-equations-has-positive-solutions-A-x-5y-7-B-x-5y-3-B-x-5y-2-C-x-5y-1-

Question Number 145336 by physicstutes last updated on 04/Jul/21

Which of the following linear diophantine equations has

positive solutions,

A . x + 5 y = 7

B . x + 5 y = 3

B . x + 5 y = 2

C . x + 5 y = 1

Commented by Rasheed.Sindhi last updated on 04/Jul/21

A . x + 5 y = 7

Commented by physicstutes last updated on 04/Jul/21

Please sir is there any quik way to figure that out ?

Commented by mr W last updated on 04/Jul/21

x ⩾ 1, y ⩾ 1

x + 5 y ⩾ 1 + 5 \times 1 = 6

\Rightarrow o n l y x + 5 y = 7 f u l f i l l s t h i s!

Commented by physicstutes last updated on 04/Jul/21

wow thank you sir