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14 tháng 10 2019

\(9,5-\frac{3}{4}\left|X-\frac{1}{3}\right|=6\frac{1}{3}-\frac{1}{3}\left|\frac{1}{3}-X\right|\)

\(\frac{19}{2}-\frac{3}{4}\left|X-\frac{1}{3}\right|=\frac{19}{3}-\frac{1}{3}\left|X-\frac{1}{3}\right|\)

\(\frac{19}{2}-\frac{3}{4}\left|X-\frac{1}{3}\right|+\frac{1}{3}\left|X-\frac{1}{3}\right|=\frac{19}{3}\)

\(\frac{19}{2}-\left(\frac{3}{4}\left|X-\frac{1}{3}\right|-\frac{1}{3}\left|X-\frac{1}{3}\right|=\frac{19}{3}\right)\)

\(\left|X-\frac{1}{3}\right|\left(\frac{3}{4}-\frac{1}{3}\right)=\frac{19}{2}-\frac{19}{3}\)

\(\frac{5}{12}\left|X-\frac{1}{3}\right|=\frac{19}{6}\)

\(\left|X-\frac{1}{3}\right|=\frac{19}{6}\div\frac{5}{12}\)

\(\left|X-\frac{1}{3}\right|=\frac{38}{5}\)

\(\Rightarrow\orbr{\begin{cases}X-\frac{1}{3}=\frac{38}{5}\\X-\frac{1}{3}=\frac{-38}{5}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{119}{15}\\x=\frac{-109}{15}\end{cases}}\)

Vậy.....................

P/s: sai thì bỏ qua nha!

18 tháng 6 2017

lm ơn giúp mình vs ạ

19 tháng 6 2017

con cặt

Nguyễn Trà My

Phần a)

\(3\times\left(\frac{1}{2}-x\right)+\frac{1}{3}=\frac{7}{6}-x\)

\(32-3x+13=76-x\)

\(116-3x=76-x\)

\(116-76=3x-x\)

\(46=2x\)

\(x=46\div2\)

\(x=13\)

22 tháng 9 2017

a)  \(3.\left(\frac{1}{2}-x\right)+\frac{1}{3}=\frac{7}{6}-x\)

\(3.\left(\frac{1}{2}-x\right)+x=\frac{7}{6}-\frac{1}{3}\)

\(\Rightarrow\frac{3}{2}-3x+x=\frac{5}{6}\)

\(-3x+x=\frac{5}{6}-\frac{3}{2}\)

\(2x=-\frac{2}{3}\)

\(x=-\frac{2}{3}:2\)

\(x=-\frac{1}{3}\)

27 tháng 9

         Bài 1:

\(\dfrac{11}{2}x\) + 1 = \(\dfrac{1}{3}x-\dfrac{1}{4}\)

\(\dfrac{11}{2}\)\(x\) - \(\dfrac{1}{3}\)\(x\) = - \(\dfrac{1}{4}\) - 1

-(\(\dfrac{33}{6}\) + \(\dfrac{2}{6}\))\(x\) = - \(\dfrac{5}{4}\)

\(\dfrac{35}{6}\)\(x\) = - \(\dfrac{5}{4}\)

  \(x=-\dfrac{5}{4}\) : (- \(\dfrac{35}{6}\))

 \(x\) = \(\dfrac{3}{14}\)

Vậy \(x=\dfrac{3}{14}\)

 

 

27 tháng 9

Bài 2: 2\(x\) - \(\dfrac{2}{3}\) - 7\(x\) = \(\dfrac{3}{2}\) - 1

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

         - 5\(x\)    = \(\dfrac{9}{6}\) - \(\dfrac{6}{6}\) + \(\dfrac{4}{6}\) 

        - 5\(x\)    = \(\dfrac{7}{6}\)

           \(x\)    = \(\dfrac{7}{6}\) : (- 5) 

          \(x\)    = - \(\dfrac{7}{30}\)

Vậy \(x=-\dfrac{7}{30}\)

 

24 tháng 12 2021

\(K=\left(\dfrac{10}{3}\cdot\dfrac{19}{10}+\dfrac{19}{2}:\dfrac{13}{3}\right)\cdot\dfrac{2}{3}\)

\(=\dfrac{665}{117}\)

24 tháng 12 2021

\(K=\left(\dfrac{10}{3}\cdot\dfrac{19}{10}+\dfrac{19}{2}:\dfrac{13}{3}\right)\cdot\left(\dfrac{62}{75}-\dfrac{12}{25}\right)=\left(\dfrac{19}{3}+\dfrac{57}{26}\right)\cdot\dfrac{2}{3}=\dfrac{665}{78}\cdot\dfrac{2}{3}=\dfrac{665}{117}\)

18 tháng 9 2020

\(x-\frac{3}{8}=\frac{1}{6}-\frac{1}{5}\)

=> \(x-\frac{3}{8}=\frac{5}{30}-\frac{6}{30}=-\frac{1}{30}\)

=> \(x=-\frac{1}{30}+\frac{3}{8}\)

=> \(x=\frac{41}{120}\)

\(-\frac{7}{10}\left(x+\frac{1}{3}\right)=\frac{4}{5}\)

=> \(-\frac{7}{10}x-\frac{7}{30}=\frac{4}{5}\)

=> \(-\frac{7}{10}x=\frac{4}{5}+\frac{7}{30}=\frac{31}{30}\)

=> \(x=\frac{31}{30}:\left(-\frac{7}{10}\right)=\frac{31}{30}\cdot\left(-\frac{10}{7}\right)=-\frac{31}{21}\)

\(x-\frac{4}{3}=\frac{5}{6}\Rightarrow x=\frac{5}{6}+\frac{4}{3}=\frac{5}{6}+\frac{8}{6}=\frac{13}{6}\)

Thiếu đề 

\(\frac{6}{5}+\left(x-\frac{2}{3}\right)=\frac{4}{7}\)

=> \(\frac{6}{5}+x-\frac{2}{3}=\frac{4}{7}\)

=> \(\frac{6}{5}+x=\frac{4}{7}+\frac{2}{3}=\frac{26}{21}\)

=> \(x=\frac{26}{21}-\frac{6}{5}=\frac{4}{105}\)

23 tháng 9 2023

a, -4\(\dfrac{3}{5}\).2\(\dfrac{4}{3}\) < \(x\) < -2\(\dfrac{3}{5}\): 1\(\dfrac{6}{15}\)

  - \(\dfrac{23}{5}\).\(\dfrac{10}{3}\) <   \(x\)   < - \(\dfrac{13}{5}\)\(\dfrac{21}{15}\)

   -  \(\dfrac{46}{3}\)     <  \(x\) < - \(\dfrac{13}{7}\) 

          \(x\) \(\in\) {-15; -14;-13;..; -2}

 

 

 

 

23 tháng 9 2023

a) Ta có \(-4\dfrac{3}{5}\cdot2\dfrac{4}{3}=-\dfrac{23}{5}\cdot\dfrac{10}{3}=-\dfrac{46}{3}\) và \(-2\dfrac{3}{5}\div1\dfrac{6}{15}=-\dfrac{13}{5}\div\dfrac{7}{5}=-\dfrac{13}{7}\)

Do đó \(-\dfrac{46}{3}< x< -\dfrac{13}{7}\)

Lại có \(-\dfrac{46}{3}\le-15\) và \(-\dfrac{13}{7}\ge-2\)

Suy ra \(-15\le x\le-2\), x ϵ Z

b) Ta có \(-4\dfrac{1}{3}\left(\dfrac{1}{2}-\dfrac{1}{6}\right)=-\dfrac{13}{3}\cdot\dfrac{1}{3}=-\dfrac{13}{9}\) và \(-\dfrac{2}{3}\left(\dfrac{1}{3}-\dfrac{1}{2}-\dfrac{3}{4}\right)=-\dfrac{2}{3}\cdot\dfrac{-11}{12}=\dfrac{11}{18}\)

Do đó \(-\dfrac{13}{9}< x< \dfrac{11}{18}\)

Lại có \(-\dfrac{13}{9}\le-1\) và \(\dfrac{11}{18}\ge0\)

Suy ra \(-1\le x\le0\), x ϵ Z