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

$$\mathrm{Which}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{linear}\mathrm{diophantine}\mathrm{equations}\mathrm{has}$$$$\mathrm{positive}\mathrm{solutions},$$$$\mathrm{A}.x+5y=7$$$$\mathrm{B}.x+5y=3$$$$\mathrm{B}.x+5y=2$$$$\mathrm{C}.x+5y=1$$

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

$$\mathrm{A}.x+5y=7$$

Commented by physicstutes last updated on 04/Jul/21

$$\mathrm{Please}\mathrm{sir}\mathrm{is}\mathrm{there}\mathrm{any}\mathrm{quik}\mathrm{way}\mathrm{to}\mathrm{figure}\mathrm{that}\mathrm{out}?$$

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

$$x⩾1,y⩾1$$$$x+5y⩾1+5\times 1=6$$$$\Rightarrow onlyx+5y=7fulfillsthis!$$

Commented by physicstutes last updated on 04/Jul/21

$$\mathrm{wow}\mathrm{thank}\mathrm{you}\mathrm{sir}$$

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