\(1-[x+\dfrac{2}{7}]=\dfrac{5}{7}\)  b)\(\dfrac{4}{3}+(1,25-x)=2...">
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19 tháng 8 2024

`a, 1 - |x + 2/7| = 5/7`

`=> | x + 2/7| = 1 - 5/7`

`=>|x + 2/7| = 2/7`

`=> x + 2/7  = +-2/7`

`=> x + 2/7 = 2/7` hoặc `x + 2/7 = -2/7`

`=> x=  2/7  -2/7` hoặc `x = -2/7 - 2/7`

`=>  x = 0` hoặc `x = -4/7`

Vậy: `x = 0 ; x = -4/7`

`b, 4/3 + (1,25 - x) = 2,25`

`=> 1,25 - x = 2,25 - 4/3`

`=> 1,25 - x = 11/12`

`=> x = 5/4 - 11/12`

`=> x = 15/12 - 11/12`

`=> x = 4/12`

`=> x =1/3`

Vậy: `x=1/3`

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19 tháng 8 2024

\(a,1-\left(x+\dfrac{2}{7}\right)=\dfrac{5}{7}\)

\(\Rightarrow x+\dfrac{2}{7}=1-\dfrac{5}{7}\)

\(\Rightarrow x+\dfrac{2}{7}=\dfrac{2}{7}\)

\(\Rightarrow x=\dfrac{2}{7}-\dfrac{2}{7}\)

\(\Rightarrow x=0\)

Vậy `x = 0`

\(b,\dfrac{4}{3}+\left(1,25-x\right)=2,25\)

\(\Rightarrow1,25-x=2,25-\dfrac{4}{3}\)

\(\Rightarrow1,25-x=\dfrac{9}{4}-\dfrac{4}{3}\)

\(\Rightarrow1,25-x=\dfrac{27}{12}-\dfrac{16}{12}\)

\(\Rightarrow1,25-x=\dfrac{11}{12}\)

\(\Rightarrow x=1,25-\dfrac{11}{12}\)

\(\Rightarrow x=\dfrac{15}{12}-\dfrac{11}{12}\)

\(\Rightarrow x=\dfrac{1}{3}\)

Vậy \(x=\dfrac{1}{3}\)

30 tháng 7 2017

\(a,\dfrac{x}{6}=\dfrac{7}{3}\Rightarrow x=\dfrac{6.7}{3}\Rightarrow x=14\)

\(b,\dfrac{20}{x}=\dfrac{-12}{15}\Rightarrow x=\dfrac{20.15}{-12}\Rightarrow x=-25\)

\(c,\dfrac{-15}{35}=\dfrac{27}{x}\Rightarrow x=\dfrac{35.27}{-15}\Rightarrow x=-63\)

\(d,\dfrac{\dfrac{4}{5}}{1\dfrac{2}{5}}=\dfrac{2\dfrac{2}{5}}{x}\Rightarrow\dfrac{\dfrac{4}{5}}{\dfrac{7}{5}}=\dfrac{\dfrac{12}{5}}{x}\Rightarrow x=\dfrac{\dfrac{7}{5}.\dfrac{12}{5}}{\dfrac{4}{5}}\Rightarrow x=\dfrac{\dfrac{84}{25}}{\dfrac{4}{5}}\Rightarrow x=\dfrac{21}{5}\)

\(e,\dfrac{x}{1\dfrac{1}{4}}=\dfrac{5}{2}\Rightarrow\dfrac{x}{\dfrac{5}{4}}=\dfrac{5}{2}\Rightarrow x=\dfrac{5}{2}.\dfrac{5}{4}\Rightarrow x=\dfrac{25}{8}\)

\(f,\dfrac{\dfrac{1}{2}}{1\dfrac{1}{4}}=\dfrac{x}{3\dfrac{1}{3}}\Rightarrow\dfrac{\dfrac{1}{2}}{\dfrac{5}{4}}=\dfrac{x}{\dfrac{10}{3}}\Rightarrow x=\dfrac{\dfrac{10}{3}.\dfrac{1}{2}}{\dfrac{5}{4}}\Rightarrow x=\dfrac{\dfrac{5}{3}}{\dfrac{5}{4}}\Rightarrow x=\dfrac{4}{3}\)

31 tháng 7 2017

a,\(1.25:0.2=1.25:0.1x\Rightarrow1.25:0.1x=\dfrac{25}{4}\Rightarrow0.1x=\dfrac{1}{5}\Rightarrow x=2\)

b,\(3.8:2x=\dfrac{1}{4}:2\dfrac{2}{3}\Rightarrow3.8:2x=\dfrac{3}{32}\Rightarrow2x=\dfrac{608}{15}\Rightarrow x=\dfrac{304}{15}\)

20 tháng 8 2017

Bn k có máy tính ạ/

20 tháng 8 2017

nóa pải ghi cách lm bn

1 tháng 8 2017

1)

a) \(\frac{x}{6}\)\(\frac{7}{3}\)

\(\Rightarrow\)x.3=6.7

\(\Rightarrow\)x.3=42

\(\Rightarrow\)x   =42:3

\(\Rightarrow\)x   =14

b) làm tương tự như câu a

c) làm tương tự như câu

 d) làm tương tư như câu a nhưng hơi phúc tạp một chút là bn phải đổi ra từ hỗn số ra phân số hoặc số nguyên

e) tương tự câu d

f) làm tương tự như câu d

2)

a) 3x:\(\frac{27}{10}\)=\(\frac{1}{3}\)\(2\frac{1}{4}\)

3x: \(\frac{27}{10}\) = \(\frac{1}{3}\)\(\frac{9}{4}\)

3x: \(\frac{27}{10}\) = \(\frac{4}{27}\)

3x       = \(\frac{4}{27}\)\(\frac{27}{10}\)

3x       = \(\frac{2}{5}\)

 x        = \(\frac{2}{5}\):  3

x         = \(\frac{2}{15}\)

Các câu còn lại bn làm tương tự như câu a nha

3) 

Làm tương tự như bài 2 nha

 mik khuyên bn nếu bn giải bài thì bn nên đổi ra cùng một kiểu số thì tốt hơn như số số thập phân thì thập phân hết ấy

Cuối cùng chúc bn học giỏi

11 tháng 9 2017

a/ \(x+\dfrac{3}{5}=\dfrac{4}{7}\)

\(x=\dfrac{4}{7}-\dfrac{3}{5}\)

\(x=-\dfrac{1}{35}\)

Vậy ....

b/ \(x-\dfrac{5}{6}=\dfrac{1}{6}\)

\(x=\dfrac{1}{6}+\dfrac{5}{6}\)

\(x=1\)

Vậy ....

c/\(-\dfrac{5}{7}-x=\dfrac{-9}{10}\)

\(x=\dfrac{-5}{7}-\dfrac{-9}{10}\)

\(x=\dfrac{13}{70}\)

Vậy .....

d/ \(\dfrac{5}{7}-x=10\)

\(x=\dfrac{5}{7}-10\)

\(x=\dfrac{-65}{7}\)

Vậy ...

11 tháng 9 2017

e/ \(x:\left(\dfrac{1}{9}-\dfrac{2}{5}\right)=\dfrac{-1}{2}\)

\(x:\dfrac{-13}{45}=\dfrac{-1}{2}\)

\(x=\dfrac{-1}{2}.\dfrac{-13}{45}\)

\(x=\dfrac{13}{90}\)

Vậy ....

f/ \(\left(\dfrac{-3}{5}+1,25\right)x=\dfrac{1}{3}\)

\(0,65.x=\dfrac{1}{3}\)

\(x=\dfrac{1}{3}:0,65\)

\(x=\dfrac{20}{39}\)

Vậy ....

g/ \(\dfrac{1}{3}x+\left(\dfrac{2}{3}-\dfrac{4}{9}\right)=\dfrac{-3}{4}\)

\(\dfrac{1}{3}x+\dfrac{2}{9}=\dfrac{-3}{4}\)

\(\Leftrightarrow\dfrac{1}{3}x=\dfrac{-35}{36}\)

\(\Leftrightarrow x=\dfrac{-35}{12}\)

Vậy ...

28 tháng 8 2017

a) \(x+\dfrac{1}{3}=\dfrac{3}{4}\Leftrightarrow x=\dfrac{3}{4}-\dfrac{1}{3}\Leftrightarrow x=\dfrac{5}{12}\) vậy \(x=\dfrac{5}{12}\)

b) \(x-\dfrac{2}{5}=\dfrac{5}{7}\Leftrightarrow x=\dfrac{5}{7}+\dfrac{2}{5}\Leftrightarrow x=\dfrac{39}{35}\) vậy \(x=\dfrac{39}{35}\)

c) \(-x-\dfrac{2}{3}=\dfrac{-6}{7}\Leftrightarrow x=\dfrac{-2}{3}+\dfrac{6}{7}\Leftrightarrow x=\dfrac{4}{21}\) vậy \(x=\dfrac{4}{21}\)

d) \(\dfrac{4}{7}-x=\dfrac{1}{3}\Leftrightarrow x=\dfrac{4}{7}-\dfrac{1}{3}\Leftrightarrow x=\dfrac{5}{21}\) vậy \(x=\dfrac{5}{21}\)

2 tháng 9 2018

a) x + \(\dfrac{1}{3}\) = \(\dfrac{3}{4}\)

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

x = \(\dfrac{5}{12}\)

Vậy x = \(\dfrac{5}{12}\)

b) x - \(\dfrac{2}{5}\) = \(\dfrac{5}{7}\)

x = \(\dfrac{5}{7}\) + \(\dfrac{2}{5}\)

x = \(\dfrac{39}{35}\)

Vậy x = \(\dfrac{39}{35}\)

c) -x - \(\dfrac{2}{3}\) = \(-\dfrac{6}{7}\)

- x = \(-\dfrac{6}{7}\) + \(\dfrac{2}{3}\)

- x = \(-\dfrac{4}{21}\)

⇒ x = \(\dfrac{4}{21}\)

Vậy x = \(\dfrac{4}{21}\)

d) \(\dfrac{4}{7}\) - x = \(\dfrac{1}{3}\)

x = \(\dfrac{4}{7}\) - \(\dfrac{1}{3}\)

x = \(\dfrac{5}{21}\)

Vậy x = \(\dfrac{5}{21}\)

19 tháng 11 2022

a: =>1/6x=-49/60

=>x=-49/60:1/6=-49/60*6=-49/10

b: =>3/2x-1/5=3/2 hoặc 3/2x-1/5=-3/2

=>x=17/15 hoặc x=-13/15

c: =>1,25-4/5x=-5

=>4/5x=1,25+5=6,25

=>x=125/16

d: =>2^x*17=544

=>2^x=32

=>x=5

i: =>1/3x-4=4/5 hoặc 1/3x-4=-4/5

=>1/3x=4,8 hoặc 1/3x=-0,8+4=3,2

=>x=14,4 hoặc x=9,6

j: =>(2x-1)(2x+1)=0

=>x=1/2 hoặc x=-1/2

22 tháng 5 2022

a: x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

A=1/7-x-x-3/5+4/5=-2x+12/35

b: B=|x-1/7|+|x+3/5|-1/3

x>-3/5 nên x+3/5>0

x<1/7 nên x-1/7<0

B=1/7-x+3/5+x-1/3=43/105

21 tháng 11 2017

a, \(\dfrac{3}{7}+\dfrac{4}{7}x=\dfrac{1}{3}\)

\(\Rightarrow\) \(\dfrac{4}{7}x=\dfrac{1}{3}-\dfrac{3}{7}\)

\(\Rightarrow\) \(\dfrac{4}{7}x=\dfrac{-2}{21}\)

\(\Rightarrow x=\dfrac{-2}{21}:\dfrac{4}{7}\)

\(\Rightarrow x=\dfrac{-1}{6}\)

b, \(25-\left(5-x\right)=-7\)

\(\Rightarrow\) \(5-x=25-\left(-7\right)\)

\(\Rightarrow5-x=32\)

\(\Rightarrow x=5-32\)

\(\Rightarrow x=-27\)

c, \(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)

\(\Rightarrow\dfrac{1}{4}:x=\dfrac{2}{5}-\dfrac{3}{4}\)

\(\Rightarrow\dfrac{1}{4}:x=\dfrac{-7}{20}\)

\(\Rightarrow x=\dfrac{1}{4}:\dfrac{-7}{20}\)

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

d, \(2x\left(x-\dfrac{1}{7}\right)=0\)

\(\Rightarrow\) \(\left[{}\begin{matrix}2x=0\\x-\dfrac{1}{7}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0:2\\x=0+\dfrac{1}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{7}\end{matrix}\right.\)

e, \(\left|\dfrac{1}{2}x-\dfrac{3}{4}\right|-7=-3\)

\(\Rightarrow\left|\dfrac{1}{2}x-\dfrac{3}{4}\right|=-3+7\)

\(\Rightarrow\left|\dfrac{1}{2}x-\dfrac{3}{4}\right|=4\)

\(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x-\dfrac{3}{4}=4\\\dfrac{1}{2}x-\dfrac{3}{4}=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=4+\dfrac{3}{4}\\\dfrac{1}{2}x=-4+\dfrac{3}{4}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=\dfrac{19}{4}\\\dfrac{1}{2}x=\dfrac{-13}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{19}{4}:\dfrac{1}{2}\\x=\dfrac{-13}{4}:\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{19}{2}\\x=\dfrac{-13}{2}\end{matrix}\right.\)

21 tháng 11 2017

a)\(\dfrac{3}{7}+\dfrac{4}{7}x=\dfrac{1}{3}\)

\(\dfrac{4}{7}x=\dfrac{1}{3}-\dfrac{3}{7}\)

\(\dfrac{4}{7}x=\dfrac{-2}{21}\)

\(x=\dfrac{-2}{21}:\dfrac{4}{7}\)

\(x=\dfrac{-1}{6}\)

b)\(25-\left(5-x\right)=-7\)

\(5-x=25-\left(-7\right)\)

\(5-x=32\)

x= -27

c)\(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)

\(\dfrac{1}{4}:x=\dfrac{2}{5}-\dfrac{3}{4}\)

\(\dfrac{1}{4}:x=\dfrac{-7}{20}\)

\(x=\dfrac{1}{4}:\dfrac{-7}{20}\)

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

d)\(2x\left(x-\dfrac{1}{7}\right)=0\)

\(\left[{}\begin{matrix}2x=0\\x-\dfrac{1}{7}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{7}\end{matrix}\right.\)

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

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

\(\left|\dfrac{1}{2}x-\dfrac{3}{7}\right|=4\)

\(\left[{}\begin{matrix}\dfrac{1}{2}x-\dfrac{3}{4}=4\\\dfrac{1}{2}x-\dfrac{3}{4}=-4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=4\dfrac{3}{4}\Rightarrow x=9\dfrac{1}{2}=\dfrac{19}{2}\\\dfrac{1}{2}x=-3\dfrac{1}{4}\Rightarrow x=\dfrac{-13}{2}\end{matrix}\right.\)

12 tháng 1 2018

2, \(\Rightarrow\left\{{}\begin{matrix}\\\dfrac{5}{4}x-\dfrac{7}{2}=0\\\dfrac{5}{8}x+\dfrac{3}{5}=0\\\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{14}{5}\\\\x=\dfrac{-24}{25}\\\end{matrix}\right.\)