\(2) \)
\(\dfrac{x}{9}-\dfrac{3}{y}=18\)
\(\dfrac{x}{9}-\dfrac{3}{y}=\dfrac{162}{9}\)
\(\dfrac{x}{9}-\dfrac{162}{9}=\dfrac{3}{y}\Leftrightarrow\dfrac{x-126}{9}=\dfrac{3}{y}\)
\(y\left(x-126\right)=9.3\Leftrightarrow y\left(x-26\right)=27\)
\(\Leftrightarrow y;x-26\inƯ\left(27\right)\)
\(Ư\left(27\right)=\left\{\pm1;\pm3;\pm9;\pm27\right\}\)
Xét các trường hợp trên!!!!!!!!!
\(\dfrac{x}{7}-\dfrac{1}{2}=\dfrac{1}{y+1}\)
\(\dfrac{2x}{14}-\dfrac{7}{14}=\dfrac{1}{y+1}\Leftrightarrow\dfrac{2x-7}{14}=\dfrac{1}{y+1}\)
\(\Leftrightarrow\left(2x-7\right)\left(y+1\right)=1.14=14\)
\(\Leftrightarrow\left(2x-7\right);\left(y+1\right)\inƯ\left(14\right)\)
\(Ư\left(14\right)=\left\{\pm1;\pm2;\pm7;\pm14\right\}\)
Xét các trường hợp trên !!!!!!!!!!!!