Question

Tìm (x,y)

x.y+2.y+x=6

GIÚP MÌNH VỚI,NGÀY MAI PHẢI NỘP BÀI RỒI

Answer 1

\(x.y+2y+x=6\)

\(\Rightarrow y.\left(x+2\right)+\left(x+2\right)-2=6\)

\(\Rightarrow y.\left(x+2\right)+\left(x+2\right)=8\)

\(\Rightarrow\left(x+2\right).\left(y+1\right)=8\)                  

\(\Rightarrow\left(x+2\right).\left(y+1\right)\inƯ\left(8\right)=\left\{1;2;4;8\right\}\) mà : \(x+2\ge2\)

\(\Rightarrow\) \(x+2=2\Rightarrow x=0\)

         \(y+1=4\Rightarrow y=3\)

\(\Rightarrow x=0;y=3\)