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28 tháng 7 2022

`121-7.(x-1)=10`

`7.(x-1)=121-10`

`7.(x-1)=111`

`x-1=111:7`

`x-1=111/7`

`x=111/7 + 7/7`

`x=118/7`

Vậy `x=118/7`

\(121-7.\left(x-1\right)=10\)

\(7.\left(x-1\right)=121-10\)

\(7.\left(x-1\right)=111\)

\(x-1=111:7\)

\(x-1=\dfrac{111}{7}\)

\(x=\dfrac{111}{7}+1\)

\(x=\dfrac{187}{7}\)

a: \(x-\dfrac{10}{3}=\dfrac{7}{15}\cdot\dfrac{3}{5}\)

=>\(x-\dfrac{10}{3}=\dfrac{21}{75}=\dfrac{7}{25}\)

=>\(x=\dfrac{7}{25}+\dfrac{10}{3}=\dfrac{21+250}{75}=\dfrac{271}{75}\)

b: \(x+\dfrac{3}{22}=\dfrac{27}{121}\cdot\dfrac{9}{11}\)

=>\(x+\dfrac{3}{22}=\dfrac{243}{1331}\)

=>\(x=\dfrac{243}{1331}-\dfrac{3}{22}=\dfrac{123}{2662}\)

c: \(\dfrac{8}{23}\cdot\dfrac{46}{24}-x=\dfrac{1}{3}\)

=>\(\dfrac{8}{24}\cdot\dfrac{46}{23}-x=\dfrac{1}{3}\)

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

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

d: \(1-x=\dfrac{49}{65}\cdot\dfrac{5}{7}\)

=>\(1-x=\dfrac{49}{7}\cdot\dfrac{5}{65}=\dfrac{7}{13}\)

=>\(x=1-\dfrac{7}{13}=\dfrac{6}{13}\)

AH
Akai Haruma
Giáo viên
13 tháng 12 2022

Lời giải:

a. $121-3(x-5)=6$

$3(x-5)=121-6=115$

$x-5=115:3=\frac{115}{3}$

$x=\frac{115}{3}+5=\frac{130}{3}$

b.

$2x-138=2^3.3^2=72$

$2x=72+138=210$

$x=210:2=105$

c.

$x-3\vdots 7$

$\Rightarrow x-3\in\left\{0;7;14;21;28;35;42;49; 56;...\right\}$

Mà $10< x< 50$ nên $x\in\left\{14;21;28;35;42;49\right\}$

d.

$27\vdots x+1$

$\Rightarrow x+1\in\left\{\pm 1; \pm 3; \pm 9; \pm 27\right\}$

$\Rightarrow x\in\left\{0; -2; -4; 2; 8; -10; 26; -28\right\}$

13 tháng 12 2022

a ) 121-3.(x - 5 ) = 6

3.(x-5) = 121 -6

3. (x-5)=115

x-5  = 115:3

x-5=35

x=35+5

x = 40

b) 2x - 138 = 2'3. 3'2

2x -138=8.9

2x-138=72

2x=72+138

2x=210

x=210:2

x=105

c) theo bài ra : x-3 ∈ B(7)

ta có B(7)=(0,7,14,21,28,35,49,56,...)

=) x-3 ∈ ( 0,7,14,21,28,35,49,56,...)

=) x ∈( 3 , 10,17,24,31,38,42,58,..)

mà 10 <x<50 nên x ∈ ( 17 , 24 ,31,38,42 )

vậy x ∈(17,24,31,38,42)

22 tháng 9 2019

\(\frac{2}{3}.x=\frac{1}{3}\)1) x-\(\frac{10}{3}\)=\(\frac{7}{15}.\frac{3}{5}\)

x-10/3=7/25

x=7/25+10/3

x=\(\frac{271}{75}\)

2)\(\frac{8}{23}.\frac{46}{24}.x=\frac{1}{3}\)

2/3.x=1/3

x=1/3:2/3

x=1/2

14 tháng 7 2019

\(x-\frac{10}{3}=\frac{7}{15}.\frac{3}{5}\)

\(x-\frac{10}{3}=\frac{7}{25}\)

\(x=\frac{7}{25}+\frac{10}{3}=\frac{271}{75}\)

Vậy x = 271/75

14 tháng 7 2019

\(x-\frac{10}{3}\)\(=\)\(\frac{7}{15}\)\(.\)\(\frac{3}{5}\)

\(x-\frac{10}{3}\)\(=\)  \(\frac{7}{25}\)

\(x\)             \(=\)\(\frac{7}{25}\)\(+\)\(\frac{10}{3}\)

\(x\)                 \(=\)    \(\frac{271}{75}\)

a: \(\Leftrightarrow x-3=-13\)

hay x=-10

25 tháng 10 2023

a: \(7^{x-5}+121=58\cdot2^3\)

=>\(7^{x-5}+121=58\cdot8\)

=>\(7^{x-5}=343\)

=>x-5=3

=>x=8

b: \(10^{x+25}+168=73\cdot2^4\)

=>\(10^{x+25}+168=73\cdot16\)

=>\(10^{x+25}=1000\)

=>x+25=3

=>x=-22

c: \(5x+59=21\cdot2^2=21\cdot4=84\)

=>5x=84-59=25

=>x=5

d: \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)

=>\(2^{x-1}+3=24-16+3\)

=>\(2^{x-1}=8\)

=>x-1=3

=>x=4

25 tháng 10 2023

7ˣ⁻⁵ + 121 = 58.2³

7ˣ⁻⁵ = 58.8 - 121

7ˣ⁻⁵ = 464 - 121

7ˣ⁻⁵ = 343

7ˣ⁻⁵ = 7³

x - 5 = 3

x = 3 + 5

x = 8

-------

10ˣ⁻²⁵ + 168 = 73.2⁴

10ˣ⁻²⁵ = 73.16 - 168

10ˣ⁻²⁵ = 1000

10ˣ⁻²⁵ = 10³

x - 25 = 3

x = 3 + 25

x = 28

-------- 

5x + 59 = 21.2²

5x = 21.4 - 59

5x = 84 - 59

5x = 25

x = 25 : 5

x = 5

--------

3 + 2ˣ⁻¹ = 24 - [4² - (2² - 1)]

3 + 2ˣ⁻¹ = 24 - (16 - 3)

2ˣ⁻¹ = 24 - 13 - 3

2ˣ⁻¹ = 8

2ˣ⁻¹ = 2³

2ˣ⁻¹ = 3

x - 1 = 3

x = 3 + 1

x = 4

Bài 15:a)\(\dfrac{-2}{5}\)+\(\dfrac{4}{5}\) . x =\(\dfrac{3}{5}\)b)\(\dfrac{-3}{7}\) - \(\dfrac{4}{7}\):x = -2Bài 16a) x - \(\dfrac{10}{3}\) = \(\dfrac{7}{15}\) . \(\dfrac{3}{5}\)b) x + \(\dfrac{3}{22}\)= \(\dfrac{27}{121}\) . \(\dfrac{11}{9}\)c) \(\dfrac{8}{23}\) . \(\dfrac{48}{24}\) - x = \(\dfrac{1}{3}\)d) 1 - x = \(\dfrac{49}{65}\).\(\dfrac{5}{7}\)Bài 17: tìm xa) \(\dfrac{62}{7}\) . x = \(\dfrac{29}{9}\): \(\dfrac{3}{56}\)b) \(\dfrac{1}{5}\) : x=\(\dfrac{1}{5}\)+\(\dfrac{1}{7}\)bài...
Đọc tiếp

Bài 15:

a)\(\dfrac{-2}{5}\)+\(\dfrac{4}{5}\) . x =\(\dfrac{3}{5}\)

b)\(\dfrac{-3}{7}\) - \(\dfrac{4}{7}\):x = -2

Bài 16

a) x - \(\dfrac{10}{3}\) = \(\dfrac{7}{15}\) . \(\dfrac{3}{5}\)

b) x + \(\dfrac{3}{22}\)\(\dfrac{27}{121}\) . \(\dfrac{11}{9}\)

c) \(\dfrac{8}{23}\) . \(\dfrac{48}{24}\) - x = \(\dfrac{1}{3}\)

d) 1 - x = \(\dfrac{49}{65}\).\(\dfrac{5}{7}\)

Bài 17: tìm x

a) \(\dfrac{62}{7}\) . x = \(\dfrac{29}{9}\)\(\dfrac{3}{56}\)

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

bài 18:

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

b)\(\dfrac{5}{7}\) - \(\dfrac{2}{3}\) . x = \(\dfrac{4}{5}\)

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

d) \(\dfrac{4}{7}\).x-x = \(\dfrac{-9}{14}\)

bài 19: tính 

\(\dfrac{1}{1.2}\)+\(\dfrac{1}{2.3}\)+\(\dfrac{1}{3.4}\)+...+ \(\dfrac{1}{2018.2019}\)

bài 20:tìm x 

\(\dfrac{1}{1.2}\)+\(\dfrac{1}{2.3}\)+...+\(\dfrac{1}{x.\left(x+1\right)}\)=\(\dfrac{2008}{2009}\)

bài 21: tìm x

\(\dfrac{x+1}{99}\)+\(\dfrac{x+2}{98}\)\(\dfrac{x+3}{97}\)\(\dfrac{x+4}{96}\)=-4

bài 22 : so sánh các phân số sau:

a) \(\dfrac{-1}{5}\)+\(\dfrac{4}{-5}\)và 1

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

c)\(\dfrac{3}{2}\)+\(\dfrac{-4}{3}\) và \(\dfrac{1}{10}\)+\(\dfrac{-4}{5}\)

d) \(\dfrac{1}{2}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{4}\)+\(\dfrac{1}{5}\)+\(\dfrac{1}{6}\) và 2

1
6 tháng 2 2021

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6 tháng 2 2021

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