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25 tháng 8 2022

\(-\dfrac{5}{6}x+\dfrac{5}{4}=\dfrac{4}{3}.\dfrac{3}{2}=2\Leftrightarrow\dfrac{-5}{6}x=2-\dfrac{5}{4}=\dfrac{3}{4}\)

\(\Leftrightarrow x=\dfrac{3}{4}:\left(-\dfrac{5}{6}\right)=-\dfrac{18}{20}=-\dfrac{9}{10}\)

25 tháng 8 2022

 

x:y:z=2:5:7 và 3x+2y=13

1: 2*2*2*2*2*2=2^6

2: x*x*x*x=x^4

3: =7^4*6^4=42^4

4: =5^2*3^2*4^2=60^2

5: =2*3^2*5^5

6: =10^3*10^3=10^6

a:  =-5/6-3/7=-35/42-18/42=-53/42

b: =18/45-20/45=-2/45

c: =-24/35

d: =2/3x-5/4=-10/12=-5/6

28 tháng 2 2022

\(\dfrac{-5}{6}+\dfrac{3}{7}=\dfrac{-5\times7+3\times6}{6\times7}=\dfrac{-17}{42}.\)

\(\dfrac{2}{5}-\dfrac{4}{9}=\dfrac{2\times9-4\times5}{5\times9}=\dfrac{-2}{45}.\)

\(\dfrac{-6}{5}\times\dfrac{4}{7}=\dfrac{-6\times4}{5\times7}=\dfrac{-24}{35}.\)

\(\dfrac{2}{3}:\dfrac{-4}{5}=\dfrac{2}{3}\times\dfrac{5}{-4}=\dfrac{-5}{6}.\)

 

16 tháng 8 2023

a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)

\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)

\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)

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

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

\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)

\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{2}{5}\)

c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)

\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-77}{120}\)

d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)

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

e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)

\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-59}{105}\)

16 tháng 8 2023

g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)

\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)

\(\Rightarrow x=\dfrac{-13}{12}\)

a: 5/7+5/4

=20/28+35/28=55/28

b: 3/2-4/6

=9/6-4/6=5/6

c: 5x3/4=15/4

d: 4/6:8=2/3x1/8=2/24=1/12

20 tháng 9 2022

5/7+5/4 =55/28

3/2-4/6=5/6

5x3/4=15/4

4/6:8=1/12

21 tháng 8 2023

B1:

A.1+1=2

B.6+2+5=13

C.6+4+6+2+7=25

D.6+4+7+8=25

B2:

A.x+2=3

x=3-2

x=1

B.x+5=4+6

x+5=10

x=10-5

x=5

C.7=4+x

x=7-4

x=3

D.4+x={3+5+7}+{3+5}

4+x=15+8

4+x=23

x=23-4

x=19

24 tháng 8 2023

Bài 1 :

A.1+1=2

B.6+2+5=13

C.6+4+6+2+7=25

D.6+4+7+8=25

Bài 2 :

A.x+2=3

x=3-2

x=1

B.x+5=4+6

x+5=10

x=10-5

x=5

C.7=4+x

x=7-4

x=3

D.4+x={3+5+7}+{3+5}

4+x=15+8

4+x=23

x=23-4

x=19

Chúc bạn học tốt nha ~_~

30 tháng 10 2018

từ đầu bài sẽ ra:

(4^5*4)/(3^5.3)  .   (6^5.6)/(2^5.2)=8^x

4^6/3^6 . 6^6/2^6=8^x

4^6.6^6/3^6.2^6= 8^x

4^6.6^6/6^6=8^x

4^6=8^x

2^12=2^3x

3x=12

x=4

vậy x=4

nhìn hơi khó hiểu bạn thông cảm

30 tháng 10 2018

\(=\frac{4\left(4^5\right)}{3\left(3^5\right)}.\frac{6\left(6^5\right)}{2^{10}}=8^x\)

\(=\frac{2^{12}}{3^6}.\frac{2^6.3^6}{2^{10}}\)= 8x

\(=\frac{2^{18}.3^6}{3^6.2^{10}}\)= 8x

\(=2^8=8^x\)

=> x vô nghiệm

Mk giải hơi bị ngắn nha1 Mong bạn hiểu XD

Hk tốt

10 tháng 6 2023

`x/(2*2)+x/(3*4)+x/(6*4)+x/(8*5)+x/(10*6)=5`

`x/4 +x/12 +x/24 +x/45 + x/60 =5`

`x(1/4 +1/12 +1/24 +1/40 +1/60)=5`

`x( (30+10+5+3+2)/120 ) =5`

`x *50/120 =5`

`x = 5 *120/50 =12`

10 tháng 6 2023

\(\dfrac{x}{4}+\dfrac{x}{12}+\dfrac{x}{24}+\dfrac{x}{40}+\dfrac{x}{60}=5\)

\(\Leftrightarrow x\left(\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}+\dfrac{1}{40}+\dfrac{1}{60}\right)=5\)

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

\(\Leftrightarrow x=12\)

8 tháng 7 2023

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

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

|7 - \(\dfrac{3}{4}\)\(x\)| = 2 + \(\dfrac{3}{2}\)

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

\(\left[{}\begin{matrix}7-\dfrac{3}{4}x=\dfrac{7}{2}\\7-\dfrac{3}{4}x=-\dfrac{7}{2}\end{matrix}\right.\) 

\(\left[{}\begin{matrix}\dfrac{3}{4}x=7-\dfrac{7}{2}\\\dfrac{3}{4}=7+\dfrac{7}{2}\end{matrix}\right.\)

\(\left[{}\begin{matrix}\dfrac{3}{4}x=\dfrac{7}{2}\\\dfrac{3}{4}x=\dfrac{21}{2}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\dfrac{14}{3}\\x=14\end{matrix}\right.\)

8 tháng 7 2023

 5  - |\(x-3\)| = 5

       |\(x-3\)| = 5 - 5

      |\(x-3\)| = 0

      \(x-3\) = 0 

      \(x\) = 3

`@` `\text {Ans}`

`\downarrow`

`1)`

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

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

`\Rightarrow`\(2x=\dfrac{7}{6}\)

`\Rightarrow`\(x=\dfrac{7}{6}\div2\)

`\Rightarrow`\(x=\dfrac{7}{12}\)

Vậy, `x = 7/12`

`2)`

\(\dfrac{1}{7}+\dfrac{4}{5}x=\dfrac{5}{3}\)

`\Rightarrow`\(\dfrac{4}{5}x=\dfrac{5}{3}-\dfrac{1}{7}\)

`\Rightarrow`\(\dfrac{4}{5}x=\dfrac{32}{21}\)

`\Rightarrow`\(x=\dfrac{32}{21}\div\dfrac{4}{5}\)

`\Rightarrow`\(x=\dfrac{40}{21}\)

Vậy, `x = 40/21`

`3)`

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

`\Rightarrow`\(\dfrac{3}{5}x=\dfrac{3}{5}-\dfrac{1}{7}\)

`\Rightarrow`\(\dfrac{3}{5}x=\dfrac{16}{35}\)

`\Rightarrow`\(x=\dfrac{16}{35}\div\dfrac{3}{5}\)

`\Rightarrow`\(x=\dfrac{16}{21}\)

Vậy, `x = 16/21`

`4)`

\(\dfrac{5}{6}-3x=\dfrac{3}{4}\)

`\Rightarrow`\(3x=\dfrac{5}{6}-\dfrac{3}{4}\)

`\Rightarrow`\(3x=\dfrac{1}{12}\)

`\Rightarrow`\(x=\dfrac{1}{12}\div3\)

`\Rightarrow`\(x=\dfrac{1}{36}\)

Vậy, `x  = 1/36`

`5)`

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

`\Rightarrow`\(\dfrac{1}{2}x=\dfrac{5}{3}-\dfrac{3}{7}\)

`\Rightarrow`\(\dfrac{1}{2}x=\dfrac{26}{21}\)

`\Rightarrow`\(x=\dfrac{26}{21}\div\dfrac{1}{2}\)

`\Rightarrow`\(x=\dfrac{52}{21}\)

Vậy, `x = 52/21`

`6)`

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

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

`\Rightarrow`\(5x=\dfrac{1}{6}\)

`\Rightarrow`\(x=\dfrac{1}{6}\div5\)

`\Rightarrow`\(x=\dfrac{1}{30}\)

Vậy, `x = 1/30.`

1 tháng 3 2023

a,\(4:\dfrac{9}{5}:\dfrac{10}{3}\)
\(=\dfrac{4\times5\times3}{9\times10}\)
\(=\dfrac{2\times2\times5\times3}{3\times3\times5\times2}=\dfrac{2}{3}\)
b,\(\dfrac{1}{2}\times\dfrac{3}{4}:\dfrac{6}{5}\)
\(=\dfrac{3\times5}{2\times4\times6}\)
\(=\dfrac{3\times5}{2\times4\times3\times2}=\dfrac{5}{16}\)

2 tháng 3 2023

a)