Question

tìm các số nguyên x,y biết x/6=1/y=1/2

 

Answer 1

\(\frac{x}{6}=\frac{1}{y}=\frac{1}{2}\)

\(\frac{x}{6}=\frac{1}{2}\Rightarrow6.1=2.x=6:2\)

\(\Rightarrow x=3\)

\(\frac{1}{y}=\frac{1}{2}\Rightarrow2.1=1.y=2:1\)

\(\Rightarrow y=2\)

\(\Leftrightarrow\frac{3}{6}=\frac{1}{2}=\frac{1}{2};x=3;y=2\)

Answer 2

#)Giải :

Ta có : \(\frac{x}{6}=\frac{1}{y}\Rightarrow xy=6.1\)

\(\Rightarrow xy=6\)

\(\Rightarrow\orbr{\begin{cases}x=1\Rightarrow y=6\\x=2\Rightarrow y=3\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=3\Rightarrow y=2\\x=6\Rightarrow y=1\end{cases}}\)

Answer 3

\(\frac{x}{6}=\frac{1}{y}=\frac{1}{2}\)

tách\(\frac{x}{6}\)và\(\frac{1}{y}=\frac{1}{2}\)

ta có\(\frac{1}{y}=\frac{1}{2}\Rightarrow y.1=1.2\)

                         \(\Rightarrow y.1=2\)

                             \(\Rightarrow y=2:1=2\)

từ đó ta lại có

\(\frac{x}{6}=\frac{1}{2}=\frac{1}{2}\)

\(\frac{x}{6}=\frac{1}{2}\Rightarrow x.2=6.1\)

                 \(\Rightarrow x.2=6\)

                    \(\Rightarrow x=6:2=3\)

\(\Leftrightarrow\frac{3}{6}=\frac{1}{2}=\frac{1}{2}\)thỏa mãn 

\(\Rightarrow x=3:y=2\)