Question

Determinati perechile de numere intregi (x;y) care verifica relatia: (x+2)*(y-3)=-5

Answer 1

(x+2)×(y-3)=(-5)×1

x+2=-5 ⇒ x=-5-2 ⇒ x= - 7

y-3=1 ⇒ y=1+3 ⇒ y=4

(-7, 4)

Answer 2

$\it (x+2)(y-3) = -5 = -5\cdot1= -1\cdot5=1\cdot(-5) = 5\cdot(-1)\\ \\ \\x+2\in\{-5, \ -1,\ 1,\ 5\}|_{-2} \Rightarrow x\in\{-7,\ -3,\ -1,\ 3\}\\ \\ \\y-3\in\{1,\ 5,\ -5,\ -1\}|_{+3} \Rightarrow y\in|{ 4,\ 8,\ -2,\ 2\}$

$\it (x,\ y) \in |{(-7,\ 4),\ (-3,\ 8),\ (-1,\ -2),\ (3,\ 2)\}$