Question

tìm x nguyên biết 2/x+1/3=3

mik cần gấp

Answer 1

\(\dfrac{2}{x}+\dfrac{1}{3}=3\)

\(\Leftrightarrow\dfrac{2}{x}=3-\dfrac{1}{3}\)

\(\Leftrightarrow\dfrac{2}{x}=\dfrac{9}{3}-\dfrac{1}{3}\)

\(\Leftrightarrow\dfrac{2}{x}=\dfrac{8}{3}\)

\(\Leftrightarrow2.3=8.x\)

\(\Leftrightarrow8x=6\)

\(\Leftrightarrow x=\dfrac{6}{8}=\dfrac{3}{4}\)

Answer 2

\(\dfrac{2}{x}+\dfrac{1}{3}=3\)

\(\Leftrightarrow\dfrac{6}{3x}+\dfrac{x}{3x}=3\)

\(\Leftrightarrow\dfrac{6+x}{3x}=3\)

\(\Leftrightarrow3x.\dfrac{6+x}{3x}=3x.3\)

\(\Leftrightarrow6+x=9x\)

\(\Leftrightarrow6=9x-x\)

\(\Leftrightarrow6=8x\)

\(\Leftrightarrow x=\dfrac{6}{8}=\dfrac{3}{4}\)

 

Answer 3

`2/x+1/3=3`

`=>2/x=3-1/3`

`=>2/x=9/3-1/3`

`=>2/x= 8/3`

`=> 2.3=8x`

`=>8x=6`

`=>x=6/8=3/4`