Lời giải:
$\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}=\frac{14}{21}+\frac{-3}{21}=\frac{11}{21}$

$x=3.\frac{11}{21}=\frac{11}{7}$

ỜM HAI PẠN ƠI CHO MIK HỎI CÁI NÀY ĐƯỢC KHUM

\(\frac{\frac{2}{3}+\frac{2}{5}-\frac{2}{9}}{\frac{4}{3}+\frac{4}{5}-\frac{4}{9}}\)

\(=\frac{2\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}{4\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}\)

\(=\frac{2}{4}=\frac{1}{2}\)

= (2/3 + 2/5 -2/9) : 2 x ( 2/3 + 2/5 - 2/9) = 1/2

\(\dfrac{-7}{x+1}=\dfrac{6}{x+27}\)

\(\Rightarrow-7x-189=6x+6\)

\(\Rightarrow-7x-6x=6+189\)

\(\Rightarrow-13x=195\)

\(\Rightarrow x=-15\)

Vay x = -15

\(\dfrac{-7}{x+1}=\dfrac{6}{x+27}\)

\(\Rightarrow-7\left(x+27\right)=6\left(x+1\right)\)

\(\Rightarrow-7x-189=6x+6\)

\(\Rightarrow-7x-6x=6+189\)

\(\Rightarrow-13x=195\)

\(\Rightarrow x=-15\)

Vậy x=-15

=>3x+1-x+5=6

=>2x+6=6

=>x=0

`2/3 . 6/9+25/54:5/6`

`=2/3 . 2/3+25/54 . 6/5`

`=4/9+5/9=9/9=1`

\(\dfrac{2}{3}\cdot\dfrac{6}{9}+\dfrac{25}{54}:\dfrac{5}{6}=\dfrac{4}{9}+\dfrac{5}{9}=\dfrac{9}{9}=1\)

f) \(\dfrac{-x}{3}=2\dfrac{1}{7}\div\dfrac{5}{7}\)

   \(\dfrac{-x}{3}=\dfrac{15}{7}\div\dfrac{5}{7}\)

   \(\dfrac{-x}{3}=3\)

   \(-x=3\cdot3\)

   \(-x=9\) 

     \(x=-9\)

g) \(\dfrac{5}{4}+\dfrac{1}{4}\div x=1\dfrac{3}{8}\)

    \(\dfrac{5}{4}+\dfrac{1}{4}\div x=\dfrac{11}{8}\)

            \(\dfrac{1}{4}\div x=\dfrac{11}{8}-\dfrac{5}{4}\)

            \(\dfrac{1}{4}\div x=\dfrac{1}{8}\)

                   \(x=\dfrac{1}{4}\div\dfrac{1}{8}\)

                   \(x=2\)

thiếu yêu cầu ạ tìm x để `(x+3)/(x+1) là số nguyên hay j ạ 

số nguyên ạ

a2b.b = 2556

⇒ b = 4 hoặc b = 6

TH1: b = 4

Ta có:

a24.4 = 2556

⇒ a24 = 2556 : 4

⇒ a24 = 639

⇒ 100a + 24 = 639

⇒ 100a = 639 - 24

⇒ 100a = 615

⇒ a = 615 : 100

⇒ a = 6,15 (loại)

TH2: a = 6

Ta có:

a26.6 = 2556

⇒ a26 = 2556 : 6

⇒ a26 = 426

⇒ 100a + 26 = 426

⇒ 100a = 426 - 26

⇒ 100a = 400

⇒ a = 400 : 100

⇒ a = 4 (nhận)

Vậy ab = 46

\(\overline{a2b}.b=2556\)

\(\Rightarrow\left(a.100+2.10+b\right).b=2556\)

\(\Leftrightarrow a.b.100+2.10.b+b^2=2556\)

\(\Rightarrow\overline{...0}+\overline{...0}+b^2=2556\)

\(\Leftrightarrow\overline{...0}+b^2=2556\)

\(\Rightarrow b^2=2556-\overline{...0}\)

\(\Leftrightarrow b^2=\overline{...6}\)

Mà b là số tự nhiên có 1 chữ số,b² có chữ số tận cùng là 6

\(\Rightarrow0\le b\le9\)

\(\Rightarrow0\le b^2\le81\)

\(\Rightarrow b^2=36\)

\(\Rightarrow b=6\)

Thay vào ta được:

\(a.6.100+2.10.6+36=2556\)

\(\Leftrightarrow a.600+120+36=2556\)

\(\Leftrightarrow a.600+156=2556\)

\(\Leftrightarrow a.600=2556-156\)

\(\Leftrightarrow a.600=2400\)

\(\Rightarrow a=2400:600=4\)

\(\Rightarrow a=4,b=6\)

Vậy \(ab=4.6=24\)

TK :

5^x + 5^{x +2}     = 650

5^x + 5^x . 5²     = 650

5^x .( 1 +25 )   = 650

5^x .26            = 650

5^x                 = 650 / 26 =25

5^x                = 5²

nên x=2

 cảm mơn :^