Question

x; y thuộc Z: 1/x - y/11= -2/11
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Answer 1

\(\dfrac{1}{x}-\dfrac{y}{11}=-\dfrac{2}{11}\)

\(\dfrac{1}{x}=-\dfrac{2}{11}+\dfrac{y}{11}\)

\(\dfrac{1}{x}=\dfrac{y-2}{11}\)

\(x\left(y-2\right)=11\)

\(\Rightarrow x,\left(y-2\right)\inƯ\left(11\right)=\left\{1,-1,11,-11\right\}\)

có bảng sau :

x	1	-1	11	-11
x	1	-1	11	-11
y-2	11	-11	1	-1
y	13	-9	3	1

Vậy ...

 

Answer 2

\(\dfrac{1}{x}-\dfrac{y}{11}=-\dfrac{2}{11}\Rightarrow11-xy=-2x\)

\(\Leftrightarrow-2x+xy=11\Leftrightarrow x\left(-2+y\right)=11\)

\(\Rightarrow x;y-2\inƯ\left(11\right)=\left\{\pm1;\pm11\right\}\)

x	1	-1	11	-11
y-2	11	-11	1	-1
y	13	-9	3	1