\(xy-x-y+1=0\)
\(\Rightarrow x.\left(y-1\right)-\left(y-1\right)=0\)
\(\Rightarrow\left(y-1\right).\left(x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}y-1=0\\x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\y=1\end{matrix}\right.\)
Vậy \(x=y=1\)
Chúc bạn học tốt!!!
Tìm x,y biết:
xy-x-y+1=0
=> x(y-1)-y=0-1
=> x(y-1)- (y-1)= (-1)
=> (y-1)(x-1)=(-1)
\(\Rightarrow\left[{}\begin{matrix}y-1=1;x-1=-1\\y-1=-1;x-1=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}y=2;x=0\\y=0;x=2\end{matrix}\right.\)
xy-x-y+1=0
x(y-1) -(y-1) =0
(y-1)(x-1)=0
\(\Rightarrow\)\(\left[{}\begin{matrix}y-1=0\\x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}y=1\\x=1\end{matrix}\right.\)
vậy x=1; y=1
