hi-solve-in-IN-IN-this-one-x-1-y-2-2xy-thanks-

Question Number 159249 by henderson last updated on 14/Nov/21

hi!

solve in IN \times IN this one : (x + 1) (y + 2) = 2 x y .

thanks .

Answered by FongXD last updated on 14/Nov/21

\Leftrightarrow 2 x + 2 + (x + 1) y = 2 xy

\Rightarrow y = \frac{2 x + 2}{x - 1} = 2 + \frac{4}{x - 1} \in N

\Rightarrow {\begin{cases} x - 1 = 1 \\ x - 1 = 2 \\ x - 1 = 4 \end{cases}

∙ x = 2, y = 6

∙ x = 3, y = 4

∙ x = 5, y = 3

Commented by Rasheed.Sindhi last updated on 15/Nov/21

\cap i \subset\in!

\cap i \subset\in!

Commented by henderson last updated on 15/Nov/21

\boldsymbol thanks, \boldsymbol Sir \boldsymbol FongXD!

thanks, Sir FongXD!