\(\frac{3}{y}-\frac{x}{9}=\frac{1}{18}\)
\(\Rightarrow\frac{3}{y}=\frac{1}{18}+\frac{x}{9}\)
\(\Rightarrow\frac{3}{y}=\frac{1}{18}+\frac{2x}{18}\)
\(\Rightarrow\frac{3}{y}=\frac{1+2x}{18}\)
\(\Rightarrow y(1+2x)=54\)
Mà \(x,y\inℕ\)nên \(\Rightarrow y(1+2x)\inƯ(54)\)
Làm nốt :v
3/y - x/9 = 1/18
27/9y - xy/9y = 1/18
xy/9y = 27/9y - 1/18
=> 9y = 18
y = 18 : 9 = 2
2x/9y = 27/18 - 1/18 = 26/18 = 13/9
2x/9y = 13/9
=> 2x . 9 = 18 . 13
2x . 9 = 234
2x = 234 : 9
2x = 26
x = 26 : 2 = 13
Vậy x=13; y=2
