\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2019.2020}\)

\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2019}-\frac{1}{2020}\)

\(A=1-\frac{1}{2020}\)

\(A=\frac{2019}{2020}\)

\(B=\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{2017.2019}\)

\(2B=\frac{2}{1.3}+\frac{2}{3.5}=\frac{2}{5.7}+...+\frac{2}{2017.2019}\)

\(2B=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}=\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)

\(2B=1-\frac{1}{2019}\)

\(2B=\frac{2018}{2019}\)

\(B=\frac{2018}{2019}:2=\frac{1009}{2019}\)

\(C=3^0+3^1+3^2+...+3^{100}\)

\(3C=3^1+3^2+3^3+...+3^{101}\)

\(3C-C=\left(3^1+3^2+3^3+...+3^{101}\right)-\left(1+3^1+3^2+...+3^{100}\right)\)

\(2C=3^{101}-1\)

\(C=\frac{3^{101}-1}{2}\)

a) 10-x-5=-5-7-11

=> 5 - x = -23

=> x = 28
b) |x| -3=0

=> |x| = 3

=> x = 3 hoặc x -3
c) ( 7-|x| ) .(2x-4)=0

=> 7 - |x| = 0 hoặc 2x - 4 = 0

=> |x| = 7 hoặc 2x = 4

=> x = 7 hoặc x = - 7 hoặc x = 2
c)2+3x=-15-19 

=> 2 + 3x = -34

=> 3x = 36

=> x = 12 
 

\(a,10-x-5=-5-7-11\)

\(10-x-5=-23\)

\(10-x=-18\)

\(x=28\)

\(b,|x|-3=0\)

\(|x|=3\)

\(\Rightarrow\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)

`x . 3/7 = 2/3`

`=>x= 2/3 : 3/7`

`=>x= 2/3 . 7/3`

`=>x=14/9`

`-----------`

`x : 8/11 = 11/3`

`=>x= 11/3 . 8/11`

`=>x= 88/33`

`=>x=8/3`

`-----------`

`4/7 . x - 2/3 = 1/5`

`=> 4/7 . x = 1/5 +2/3`

`=>4/7 . x =3/15 + 10/15`

`=>4/7 . x =13/15`

`=>x= 13/15 : 4/7`

`=>x= 13/15 xx 7/4`

`=>x= 91/60`

Lời giải:

$x.\frac{3}{7}=\frac{2}{3}$

$x=\frac{2}{3}: \frac{3}{7}=\frac{14}{9}$

-----------

$x: \frac{8}{11}=\frac{11}{3}$

$x=\frac{11}{3}.\frac{8}{11}=\frac{8}{3}$

-----------

$\frac{4}{7}x-\frac{2}{3}=\frac{1}{5}$

$\frac{4}{7}x=\frac{2}{3}+\frac{1}{5}=\frac{13}{15}$

$x=\frac{13}{15}: \frac{4}{7}=\frac{91}{60}$

x × 3/7 = 2/3 

          x = 2/3 ÷ 3/7 

          x = 14/9 

x ÷ 8/11 = 11/3 

             x = 11/3 × 8/11 

             x = 8/3 

4/7 × x - 2/3 = 1/5 

4/7 × x.         = 1/5 + 2/3 

4/7 × x.         = 13/15 

           x.        = 13/15 ÷ 4/7 

           x.        = 91/60

Bài 1:

a: \(x=\dfrac{2}{3}:\dfrac{3}{5}=\dfrac{2}{3}\cdot\dfrac{5}{3}=\dfrac{10}{9}\)

b: \(x=\dfrac{17}{8}:\dfrac{7}{17}=\dfrac{17}{8}\cdot\dfrac{17}{7}=\dfrac{289}{56}\)

c: \(x=-\dfrac{3}{4}:\dfrac{7}{12}=\dfrac{-3}{4}\cdot\dfrac{12}{7}=\dfrac{-63}{28}=-\dfrac{9}{4}\)

d: \(\Leftrightarrow x\cdot\dfrac{1}{6}=\dfrac{3}{8}-\dfrac{1}{4}=\dfrac{1}{4}\)

hay \(x=\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{3}{2}\)

e: \(\Leftrightarrow\dfrac{1}{2}:x=-4-\dfrac{1}{3}=-\dfrac{17}{3}\)

hay \(x=-\dfrac{1}{2}:\dfrac{17}{3}=\dfrac{-3}{34}\)

dad

\(a,\frac{39}{7}:x=13\)

\(x=\frac{39}{7}:13=\frac{3}{7}\)

\(b,\frac{2}{3}\cdot x+\frac{1}{2}=\frac{1}{10}\)

\(\frac{2}{3}.x=\frac{1}{10}-\frac{1}{2}=-\frac{2}{5}\)

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

\(c,x:\frac{8}{11}=\frac{11}{3}\)

\(x=\frac{11}{3}\cdot\frac{8}{11}=\frac{8}{3}\)

\(d,\frac{2}{9}-\frac{7}{8}\cdot x=\frac{1}{3}\)

\(\frac{7}{8}.x=\frac{2}{9}-\frac{1}{3}=-\frac{1}{9}\)

\(x=-\frac{1}{9}:\frac{7}{8}=-\frac{8}{63}\)

cảm ơn Ngyễn Thị Ngọc Ánh nha bạn lm đúng mà mình k nhầm xl bạn nhìu

\(\(a,\frac{39}{7}:x=13\) \(x=\frac{39}{7}:13=\frac{3}{7}\) \(b,\frac{2}{3}\cdot x+\frac{1}{2}=\frac{1}{10}\) \(\frac{2}{3}.x=\frac{1}{10}-\frac{1}{2}=-\frac{2}{5}\) \(x=-\frac{2}{5}:\frac{2}{3}=-\frac{3}{5}\) \(c,x:\frac{8}{11}=\frac{11}{3}\)\)

\(\(x=\frac{11}{3}\cdot\frac{8}{11}=\frac{8}{3}\) \(d,\frac{2}{9}-\frac{7}{8}\cdot x=\frac{1}{3}\) \(\frac{7}{8}.x=\frac{2}{9}-\frac{1}{3}=-\frac{1}{9}\) \(x=-\frac{1}{9}:\frac{7}{8}=-\frac{8}{63}\) \)

Bạn chia từng bài ra được chứ?

a: x=9/2-3/7=57/14

b: =>x=7/5x5/7=1

c: =>x=11/3:3/8=11/3x8/3=88/9

a : x = \(\dfrac{9}{2}\) - \(\dfrac{3}{7}\) = \(\dfrac{57}{14}\)

b : = > x = \(\dfrac{7}{5}\) x\(\dfrac{5}{7}\) = 1

 c : = >  \(\dfrac{11}{3}\) : \(\dfrac{3}{8}\) = \(\dfrac{11}{3}\) x \(\dfrac{8}{3}\) = \(\dfrac{88}{9}\)

Làm sao