Đề bài
\(\dfrac{2}{x}=1-\dfrac{1}{xy}-
\dfrac{2}{y}\)
\(2=\left(1-\dfrac{1}{xy}-\dfrac{2}{xy}\right)x\)
\(2=x\left(1-\dfrac{1}{xy}-\dfrac{2}{y}\right)\)
\(2=x-\left(1-\dfrac{1}{y}-\dfrac{2x}{y}\right)\)
\(2y=yx-1-2x\)
\(2y+1=yx-2x\)
\(2y+1=x\left(y-2\right)\)
\(\dfrac{2y+1}{y-2}=x\)
x=\(x=\dfrac{2y+1}{y-2}\)
