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27 tháng 9 2024

Bài 1:

a; \(\dfrac{7}{8}\) + \(x\) = \(\dfrac{4}{7}\)

     \(x\) = \(\dfrac{4}{7}\) - \(\dfrac{7}{8}\)

     \(x\) = \(\dfrac{32}{56}\) - \(\dfrac{49}{56}\)

     \(x=-\) \(\dfrac{49}{56}\)

Vậy \(x=-\dfrac{49}{56}\)

b; 6 - \(x\) = - \(\dfrac{3}{4}\)

         \(x\) = 6 + \(\dfrac{3}{4}\)

         \(x\) = \(\dfrac{24}{4}+\dfrac{3}{4}\)

         \(x=\dfrac{27}{4}\)

Vậy \(x=\dfrac{27}{4}\) 

c; \(\dfrac{1}{-5}\) + \(x\) = \(\dfrac{3}{4}\)

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

              \(x=\dfrac{15}{20}\) + \(\dfrac{4}{20}\)

               \(x=\dfrac{19}{20}\)

Vậy \(x=\dfrac{19}{20}\) 

27 tháng 9 2024

      Bài 1:

d; - 6 - \(x\) = - \(\dfrac{3}{5}\)

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

       \(x=-\dfrac{30}{5}\) + \(\dfrac{3}{5}\)

       \(x=-\dfrac{27}{5}\)

Vậy \(x=-\dfrac{27}{5}\)

e; - \(\dfrac{2}{6}\) + \(x\) = \(\dfrac{5}{7}\)

             \(x\) = \(\dfrac{5}{7}\) + \(\dfrac{2}{6}\)

             \(x\) = \(\dfrac{15}{21}\) + \(\dfrac{1}{3}\)

              \(x=\dfrac{15}{21}\) + \(\dfrac{7}{21}\)

               \(x=\dfrac{22}{21}\)

Vậy \(x=\dfrac{22}{21}\) 

f; - 8 - \(x\) =  - \(\dfrac{5}{3}\)

          \(x\) = \(-\dfrac{5}{3}\) + 8

         \(x\) = \(\dfrac{-5}{3}\) + \(\dfrac{24}{3}\)

         \(x\) = \(\dfrac{-19}{3}\)

Vậy \(x=-\dfrac{19}{3}\) 

 

            

 

22 tháng 9 2018

* Trả lời:

\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)

\(\Leftrightarrow-3+6x-4-12x=-5x+5\)

\(\Leftrightarrow6x-12x+5x=3+4+5\)

\(\Leftrightarrow x=12\)

\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)

\(\Leftrightarrow6x-15-6+24x=-3x+7\)

\(\Leftrightarrow6x+24x+3x=15+6+7\)

\(\Leftrightarrow33x=28\)

\(\Leftrightarrow x=\dfrac{28}{33}\)

\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)

\(\Leftrightarrow1-3x-6x+12=-4x-5\)

\(\Leftrightarrow-3x-6x+4x=-1-12-5\)

\(\Leftrightarrow-5x=-18\)

\(\Leftrightarrow x=\dfrac{18}{5}\)

\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)

\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)

\(\Leftrightarrow-x-5x=-7\)

\(\Leftrightarrow-6x=-7\)

\(\Leftrightarrow x=\dfrac{7}{6}\)

\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)

\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)

\(\Leftrightarrow-15x+3x=4\)

\(\Leftrightarrow-12x=4\)

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

a: =>|5/4x-7/2|=|5/8x+3/5|

=>5/4x-7/2=5/8x+3/5 hoặc 5/4x-7/2=-5/8x-3/5

=>5/8x=41/10 hoặc 15/8x=29/10

=>x=164/25 hoặc x=116/75

b: =>3:|x/4-2/3|=6-21/5=9/5

=>|1/4x-2/3|=5/3

=>1/4x-2/3=5/3 hoặc 1/4x-2/3=-5/3

=>1/4x=7/3 hoặc 1/4x=-1

=>x=28/3 hoặc x=-4

c: \(\Leftrightarrow\left\{{}\begin{matrix}x>=0\\\left(2x-x-9\right)\left(2x+x+9\right)=0\end{matrix}\right.\Leftrightarrow x=9\)

e: =>|2x-7|=2x-7

=>2x-7>=0

=>x>=7/2

12 tháng 7 2019

a)\(-\frac{3}{2}-2x+\frac{3}{4}=2\)

\(\Leftrightarrow-2x=2+\frac{3}{2}-\frac{3}{4}=\frac{11}{4}\)

\(\Leftrightarrow x=\frac{11}{4}:\left(-2\right)=-\frac{11}{8}\)

12 tháng 7 2019

b , pt <=> \(\frac{x}{2}-\frac{3x}{5}+\frac{13}{5}=-\frac{7}{5}-\frac{7}{10}x\) <=> \(\frac{3}{5}x\) = -4 <=> x = \(\frac{-20}{3}\)

c , \(\frac{2}{3x}-\frac{3}{12}\) = \(\frac{4}{5}-\left(\frac{7}{x}-x\right)\) (ĐK : x khác 0 )

<=> \(\frac{23}{3x}\) - x =\(\frac{21}{20}\) <=>\(-3x^2-\frac{21}{20}.3x+23=0\Leftrightarrow\left[{}\begin{matrix}x=\\x=\end{matrix}\right.\)...

7 tháng 7 2016

7) | 1/4x - 3/4| = 4/ 5 x- 2/5

Th1:

1/4x - 3/4 = 4/ 5 x- 2/5

1/4x - 4/5x = -2/5 + 3/4

-11/20x = 7/20

x= -7/11

Th2: 

 1/4x - 3/4 = -(4/ 5 x- 2/5)

1/4x + 4/5x = 3/4 +  2/5

 21/20x = 23/20

x= 23/21

Vậy...

8) | 2x-1| =x

Th1:

2x -1 = x

x= 1

Th2:

2x -1 = -x

3x = 1

x= 1/3

Vậy...

9) | x+ 2| = 2x

Th1:

x+2 = 2x

x= 2

Th2:

x+2 = -2x

3x =2

x= 2/3

Vậy...

7 tháng 7 2016

7) | 1/4x - 3/4| = 4/ 5 x- 2/5

Th1:

1/4x -3/4 = 4/5x -2/5

1/4x - 4/5x = -2/5 + 3/4

(1/4 - 4/5)x = 7/20

-11/20x = 7/20

x= 7/20 : (-11/20)

x= -7/11

Th2:

1/4x - 3/4 = -(4/5x - 2/5)

1/4x - 3/4 = -4/5x + 2/5

 1/4x + 4/5x = 2/5 + 3/4

(1/4 + 4/5)x = 23/20

21/20x = 23/20

x= 23/20 : 21/20

x= 23/21

8) | 2x-1| =x

Th1:

2x -1 = x

2x - x= 1

(2-1)x=1

x= 1

Th2:

2x -1 = -x

2x +x = 1

(2+1)x =1

3x =1

x= 1:3

x= 1/3

Vậy...

Còn câu 9 chiều gửi cho

6 tháng 7 2016

câu 7 viết v k hiểu 

câu 8: |2x-1|=x<=> \(\left[\begin{array}{nghiempt}2x-1=x\\2x-1=-x\end{array}\right.\)=> x=1 hoặc x=1/3

câu 9 |x+2|=2x<=> \(\left[\begin{array}{nghiempt}x+2=-2x\\x+2=2x\end{array}\right.\)=> x=-2/3 hặc x=-1/2

6 tháng 7 2016

Câu 7 :

\(\left|\frac{1}{4}x-\frac{3}{4}\right|=\frac{4}{5}x-\frac{2}{5}\)

\(\Rightarrow\) \(\left[\begin{array}{nghiempt}-\frac{1}{4}x+\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\\\frac{1}{4}x-\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\end{array}\right.\) \(\Leftrightarrow\) \(\left[\begin{array}{nghiempt}\frac{21}{20}x=\frac{23}{20}\\\frac{11}{20}x=-\frac{7}{20}\end{array}\right.\)

\(\Leftrightarrow\)  \(\left[\begin{array}{nghiempt}x=\frac{23}{21}\\x=-\frac{7}{11}\end{array}\right.\)

Cây 8) 9) dễ hơn, bạn làm tương tự