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Question Number 95966 by i jagooll last updated on 29/May/20

$$\mathrm{find}\mathrm{all}\mathrm{pairs}\mathrm{of}\mathrm{integer}\mathrm{for}$$$$\mathrm{xy}+3\mathrm{x}-4\mathrm{y}=29$$

Answered by john santu last updated on 29/May/20

$$\Rightarrow 3x+xy-4y-12=17$$$$3(x-4)+y(x-4)=17$$$$(x-4)(y+3)=17$$$$\left(i\right)forx-4=1\Rightarrow y+3=17$$$$(5,14)$$$$\left(ii\right)forx-4=-1\Rightarrow \mathrm{y}+3=-17$$$$(3,-20)$$$$\left(iii\right)forx-3=17\Rightarrow \mathrm{y}+3=1$$$$(20,-2)$$$$\left(iv\right)forx-3=-17\Rightarrow \mathrm{y}+3=-1$$$$(-14,-4)$$

Commented by i jagooll last updated on 29/May/20

$$\mathrm{thank}\mathrm{you}$$

Commented by Rasheed.Sindhi last updated on 29/May/20

$$\mathcal{C}ooool!$$

Commented by john santu last updated on 29/May/20

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Commented by mr W last updated on 29/May/20

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