\(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14}\)

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15 tháng 12 2017

\(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14}\)

\(\dfrac{1}{7}:x=\dfrac{3}{14}-\dfrac{3}{7}\)

\(\dfrac{1}{7}:x=\dfrac{-3}{14}\)

⇒ x= \(\dfrac{1}{7}:\dfrac{3}{14}\)

⇒ x=\(\dfrac{-2}{3}\)

15 tháng 12 2017

\(\dfrac{3}{7}+\dfrac{1}{7}:x=\dfrac{3}{14} <=> \dfrac{6x+2-3x}{14x}=0 (*) điều kiện x khác 0 pt(*)<=>6x+2-3x=0<=>3x=-2<=>x=\dfrac{-2}{3} Vậy x = \dfrac{-2}{3}\)

21 tháng 11 2022

1: =>1/3:x=3/5-2/3=9/15-10/15=-1/15

=>x=-1/3:1/15=5

2: \(\Leftrightarrow x\cdot\dfrac{2}{3}-3=\dfrac{2}{5}\cdot\left(-10\right)=-4\)

=>x*2/3=-1

=>x=-3/2

3: \(\Leftrightarrow\dfrac{8}{3}:x=\dfrac{25}{12}:\dfrac{-3}{50}=\dfrac{25}{12}\cdot\dfrac{-50}{3}\)

hay x=-48/625

9: =>x=-2*3/1,5=-4

8: =>2/3:x=5/2:-3/10=5/2*(-10)/3=-50/6=-25/3

=>x=-2/3:25/3=-2/3*3/25=-2/25

11 tháng 11 2018

a)= \(\left(\dfrac{4}{9}-\dfrac{17}{18}\right)+\left(\dfrac{17}{14}-\dfrac{5}{7}\right)+\dfrac{11}{125}\)

= \(\dfrac{-1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{11}{125}\)

= 0 + \(\dfrac{11}{125}\)

= \(\dfrac{11}{125}\)

b) \(=\left(1-1\right)+\left(\dfrac{-1}{2}-\dfrac{1}{2}\right)+\left(2-2\right)\) +

\(\left(\dfrac{-2}{3}-\dfrac{1}{3}\right)+\left(3-3\right)+\left(\dfrac{-3}{4}-\dfrac{1}{4}\right)\) + 4

= 0 + (-1) + 0 + (-1) + 0 + (-1) + 4

= -1

c) = \(\dfrac{1}{3}.\dfrac{14}{25}-\dfrac{1}{2}.\dfrac{14}{25}\)

= \(\dfrac{14}{25}.\left(\dfrac{1}{3}-\dfrac{1}{2}\right)\)

= \(\dfrac{14}{25}.\left(\dfrac{-1}{6}\right)\)

= \(\dfrac{-7}{75}\)

d) = \(\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\left(\dfrac{5}{13}-\dfrac{18}{13}\right)\)

= 1 + (-1)

= 0

30 tháng 8 2019

1) -2/3

1: \(\Leftrightarrow3x+4=2\)

=>3x=-2

=>x=-2/3

2: \(\Leftrightarrow7x-7=6x-30\)

=>x=-23

3: =>\(5x-5=3x+9\)

=>2x=14

=>x=7

4: =>9x+15=14x+7

=>-5x=-8

=>x=8/5

5 tháng 7 2017

chắc h có mấy thành cay r nên ko làm bn lên mạng tải phẩn mêm có cánh iair đó :D

5 tháng 7 2017

@Đoàn Đức Hiếu

\(x=\dfrac{\left(\dfrac{18}{60}-\dfrac{16}{60}-\dfrac{21}{60}\right)\cdot\dfrac{5}{19}}{\left(\dfrac{5}{70}+\dfrac{10}{70}+\dfrac{6}{70}\right)\cdot\dfrac{-4}{3}}\)

\(=\dfrac{\dfrac{-19}{60}\cdot\dfrac{5}{19}}{\dfrac{3}{10}\cdot\dfrac{-4}{3}}=\dfrac{-5}{60}:\dfrac{-4}{10}=\dfrac{1}{12}\cdot\dfrac{5}{2}=\dfrac{5}{24}\)

Khi x=5/24 thì \(P=\sqrt{120\cdot\dfrac{5}{24}+39}=\sqrt{25+39}=8\)

31 tháng 8 2018

đề bài là gì thế?

31 tháng 8 2018

\(\dfrac{1}{-3}+0,4-\dfrac{1}{2}=\)

=\(\dfrac{1}{-3}+\dfrac{2}{5}-\dfrac{1}{2}\)

=\(\dfrac{-10}{30}+\dfrac{12}{30}-\dfrac{15}{30}\)

=\(\dfrac{-10+12-15}{30}\)

=\(\dfrac{-13}{30}\)

\(x-\dfrac{1}{17}=\dfrac{5}{14}\)

=> \(x=\dfrac{5}{14}+\dfrac{1}{7}\)

=> \(x=\dfrac{5}{14}+\dfrac{2}{14}\)

=> \(x=\dfrac{7}{14}\)

=> \(x=\dfrac{1}{2}\)

27 tháng 9 2017

Bài 1:

\(a,\dfrac{x}{3}=\dfrac{y}{7}\)\(x+y=20\)

\(=\dfrac{x+y}{3+7}=\dfrac{20}{10}=2\)

\(\Rightarrow x=2.3=6\)

\(y=2.7=14\)

Vậy \(x=6\)\(y=14\)

\(b,\dfrac{x}{5}=\dfrac{y}{2}\)\(x-y=6\)

\(=\dfrac{x-y}{5-2}=\dfrac{6}{3}=2\)

\(\Rightarrow x=2.5=10\)

\(y=2.2=4\)

Vậy \(x=10\)\(y=4\)

\(c,\dfrac{x}{7}=\dfrac{18}{14}\)

Từ tỉ lệ thức trên ta có:

\(14x=7.18\)

\(x=\dfrac{7.18}{14}\)

\(x=9\)

Vậy \(x=9\)

\(d,6:x=1\dfrac{3}{4}:5\)

\(6:x=\dfrac{7}{20}\)

\(x=6:\dfrac{7}{20}\)

\(x=\dfrac{120}{7}\)

Vậy \(x=\dfrac{120}{7}\)

\(e,\dfrac{x}{2}=\dfrac{y}{4}=\dfrac{z}{6}\)\(x-y+z=8\)

\(=\dfrac{x-y+z}{2-4+6}=\dfrac{8}{4}=2\)

\(\Rightarrow x=2.2=4\)

\(y=2.4=8\)

\(z=2.6=12\)

Vậy \(x=4;y=8;z=12\)

27 tháng 9 2017

a, \(\dfrac{x}{3}=\dfrac{y}{7}=\dfrac{x+y}{3+7}=\dfrac{1}{2}\)

Từ đó suy ra x=1,5; y=3,5

b,\(\dfrac{x}{5}=\dfrac{y}{2}=\dfrac{x-y}{5-2}=\dfrac{1}{2}\)

Từ đó suy ra x=2,5; y=1

c,\(\dfrac{x}{7}=\dfrac{18}{14}\Leftrightarrow\dfrac{x}{7}=\dfrac{9}{7}\Rightarrow x=9\)

d,\(\dfrac{6}{x}=\dfrac{\dfrac{7}{4}}{5}\Leftrightarrow\dfrac{6}{x}=\dfrac{24}{7}\left(\dfrac{\dfrac{7}{4}}{5}\right)\Leftrightarrow\dfrac{6}{x}=\dfrac{6}{\dfrac{120}{7}}\Rightarrow x=\dfrac{120}{7}\)

e,\(\dfrac{x}{2}=\dfrac{y}{4}=\dfrac{z}{8}=\dfrac{x-y+z}{2-4+8}=\dfrac{4}{3}\)

Từ đó suy ra x=\(\dfrac{8}{3}\); y=\(\dfrac{16}{3}\); z=\(\dfrac{32}{3}\)

26 tháng 8 2018

3. Từ \(\dfrac{x-2}{27}=\dfrac{3}{x-2}\Rightarrow\left(x-2\right)^2=81\)

\(\Rightarrow\left(x-2\right)^2=\left(\pm9\right)^2\\ \Rightarrow\left[{}\begin{matrix}x-2=-9\\x-2=9\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-7\\x=11\end{matrix}\right.\)

Vậy x = -7 hoặc x = 11

4. Từ \(\dfrac{2x+5}{9-2x}=\dfrac{2}{5}\)

\(\Rightarrow5\left(2x+5\right)=2\left(9-2x\right)\\ \Leftrightarrow10x+25=18-4x\\ \Leftrightarrow14x=-7\\ \Rightarrow x=-\dfrac{1}{2}\)

5. Từ \(\dfrac{x-7}{x+8}=\dfrac{x-8}{x+9}\)

\(\Rightarrow\left(x-7\right)\left(x+9\right)=\left(x-8\right)\left(x+8\right)\\ \Leftrightarrow x^2+2x-63=x^2-64\\ \Leftrightarrow2x=-1\\ \Rightarrow x=-\dfrac{1}{2}\)