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29 tháng 6 2021 lúc 14:17

a) Ta có: \(\left(3.25-\dfrac{2}{3}x\right):\dfrac{-7}{4}=-3\)

\(\Leftrightarrow-\dfrac{2}{3}x+\dfrac{13}{4}=-3\cdot\dfrac{-7}{4}=\dfrac{21}{4}\)

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

hay \(x=-2:\dfrac{2}{3}=-2\cdot\dfrac{3}{2}=-3\)

Vậy: x=-3

b) Ta có: \(\dfrac{7}{4}-\dfrac{3}{4}:x=\dfrac{7}{16}\)

\(\Leftrightarrow\dfrac{3}{4}:x=\dfrac{7}{4}-\dfrac{7}{16}=\dfrac{28}{16}-\dfrac{7}{16}=\dfrac{21}{16}\)

hay \(x=\dfrac{3}{4}:\dfrac{21}{16}=\dfrac{3}{4}\cdot\dfrac{16}{21}=\dfrac{4}{7}\)

Vậy: \(x=\dfrac{4}{7}\)

c) Ta có: \(\dfrac{5}{2}-\dfrac{3}{4}x=\dfrac{4}{5}\)

\(\Leftrightarrow\dfrac{3}{4}x=\dfrac{5}{2}-\dfrac{4}{5}=\dfrac{25}{10}-\dfrac{8}{10}=\dfrac{17}{10}\)

hay \(x=\dfrac{17}{10}:\dfrac{3}{4}=\dfrac{17}{10}\cdot\dfrac{4}{3}\)

hay \(x=\dfrac{34}{15}\)

Vậy: \(x=\dfrac{34}{15}\)

d) Ta có: \(\dfrac{3}{5}x+\dfrac{-1}{2}=\dfrac{-7}{10}\)

\(\Leftrightarrow\dfrac{3}{5}x=\dfrac{-7}{10}-\dfrac{-1}{2}=\dfrac{-7}{10}+\dfrac{1}{2}=\dfrac{-7}{10}+\dfrac{5}{10}=\dfrac{-2}{10}=\dfrac{-1}{5}\)

hay \(x=\dfrac{-1}{5}:\dfrac{3}{5}=\dfrac{-1}{5}\cdot\dfrac{5}{3}=\dfrac{-1}{3}\)

Vậy: \(x=-\dfrac{1}{3}\)

e) Ta có: \(\dfrac{4}{15}:x+\dfrac{-1}{3}=\dfrac{5}{9}\)

\(\Leftrightarrow\dfrac{4}{15}:x=\dfrac{5}{9}+\dfrac{1}{3}=\dfrac{8}{9}\)

\(\Leftrightarrow x=\dfrac{4}{15}:\dfrac{8}{9}=\dfrac{4}{15}\cdot\dfrac{9}{8}=\dfrac{36}{120}=\dfrac{3}{10}\)

Vậy: \(x=\dfrac{3}{10}\)

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H24
29 tháng 6 2021 lúc 14:17

`a)(3,25-2/3x):((-7)/4)=-3`

`<=>3,25-2/3x=-3*(-7)/4=21/4`

`<=>13/4-2/3x=21/4`

`<=>2/3x=13/4-21/4=-8/4=-2`

`<=>x=-3`

`b)7/4-3/4:x=7/16`

`<=>3/4:x=7/4-7/16`

`<=>3/4:x=21/16`

`<=>x=3/4:21/16=4/7`

`c)5/2-3/4x=4/5`

`<=>3/4x=17/10`

`<=>x=34/15`

`d)3/5x+(-1)/2=-7/10`

`<=>3/5x=-7/10+1/2=-2/10=-1/5`

`<=>x=-1/3`

`e)4/15:x+(-1)/3=5/9`

`<=>4/15:x=5/9+1/3=8/9`

`<=>x=3/10`

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