\(a.\)

\(\dfrac{-28}{35}=\dfrac{16}{x}\)

\(\Rightarrow x=\dfrac{35\cdot16}{-28}=\dfrac{5\cdot7\cdot4\cdot4}{-7\cdot4}=-20\)

\(b.\)

\(\dfrac{x+7}{15}=\dfrac{-24}{36}\)

\(\Rightarrow x+7=\dfrac{15\cdot-24}{36}=\dfrac{5\cdot3\cdot-12\cdot2}{12\cdot3}=-10\)

\(\Leftrightarrow x=-17\)

Bài 2:

a: -2*(-27)=54

6*9=54

=>Hai phân số này bằng nhau

b: -1/-5=1/5=5/25<>4/25

Bài 3:

a: =>16/x=-4/5

=>x=-20

b: =>(x+7)/15=-2/3

=>x+7=-10

=>x=-17

a) \(\dfrac{-2}{9}\) và \(\dfrac{6}{-27}\)

\(\dfrac{6}{-27}=\dfrac{6:\left(-3\right)}{\left(-27\right):\left(-3\right)}=\dfrac{-2}{9}\)

Vậy \(\dfrac{-2}{9}=\dfrac{6}{-27}\)

b) \(\dfrac{-1}{-5}\) và \(\dfrac{4}{25}\)

\(\dfrac{-1}{-5}=\dfrac{\left(-1\right).\left(-5\right)}{\left(-5\right).\left(-5\right)}=\dfrac{5}{25}\)

Do \(5\ne4\Rightarrow\dfrac{5}{25}\ne\dfrac{4}{25}\)

Vậy \(\dfrac{-1}{-5}\ne\dfrac{4}{25}\)

Bài 3

a) \(\dfrac{-28}{35}=\dfrac{16}{x}\)

\(x=\dfrac{35.16}{-28}\)

\(x=-20\)

b) \(\dfrac{x+7}{15}=\dfrac{-24}{36}\)

\(\left(x+7\right).36=15.\left(-24\right)\)

\(36x+252=-360\)

\(36x=-360-252\)

\(36x=-612\)

\(x=\dfrac{-612}{36}\)

\(x=-17\)

a: \(\Leftrightarrow\dfrac{16}{x}=\dfrac{-4}{5}\)

hay x=-20

b: =>x+7=-10

hay x=-17

a  x=-20

 b  x=-17

\(-\dfrac{28}{35}=\dfrac{16}{x}\Leftrightarrow-\dfrac{4}{5}=\dfrac{16}{x}\)

\(\Rightarrow-4x=5\cdot16\)

\(\Rightarrow-4x=80\)

\(\Rightarrow x=-20\)

\(\dfrac{x+7}{15}=-\dfrac{24}{36}\Leftrightarrow\)\(\dfrac{x+7}{15}=-\dfrac{2}{3}\)

\(\Rightarrow3\left(x+7\right)=-2\cdot15\)

\(x+7=-30\div3\)

x+7=-10

x=-10-7

x=-17

a) x = 0

b) x = -1

c) x  = -2

a) x=-2

b)x=7

c)x=11 hay -11

d)không có giá trị

e)x=85

f)x=-55

g)x=0

****

Câu 1:

a) 25-(30+x) = x-(27-8)

    25-30-x   = x-19

      -5-x       = x-19

       (-5)+19  = x+x

        14        = 2x

          x        = 7

Vậy x = 7

b) (x-12)-15 = (20-7)-(18+x)

    x-12-15   = 13-18-x

    x-(12+15)= -5-x

    x-27       = -5-x

    x+x        = -5+27

     2x         = 22

      x          = 11

Câu 2:

a) 4573+46-4573+35-16-5

 = (4573-4573)+(46-16)+(35-5)

 = 0+30+30

 = 60

b) 32+34+36+38-10-12-14-16-18

 = (32-12)+(34-14)+(36-16)+(38-18)-10

 = 10+10+10+10-10

 = 30

1, a) 25 - (30 + x) = x - (27 - 8)

25 - 30 - x = x - 27 + 8

-x - x = -27 + 8 - 25 + 30

-2x = -14

x = -14 : (-2)

x = 7

b) (x - 12) - 15 = (20 - 7) - (18 + x)

x - 12 - 15 = 20 - 7 - 18 - x

x + x = 20 - 7 - 18 + 12 + 15

2x = 22

x = 22 : 2

x = 11

2, a) 4573 + 46 - 4573 + 35 - 16 - 5

= (4573 - 4573) + (46 - 16) + (35 - 5)

= 0 + 30 + 30

= 60

b) 32 + 34 + 36 + 38 - 10 - 12 - 14 - 16 - 18

= (32 - 10) + (34 - 12) + (36 - 14) + (38 - 16) - 18

= 22 + 22 + 22 + 22 - 18

= 22 x 4 - 18

= 88 - 18

= 70

Câu b mình nhầm:

  20+20+20+20-10

= 70

\(a)x=\dfrac{1}{4}+\dfrac{5}{13}=\dfrac{33}{52}.\\ b)\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}.\\ \Leftrightarrow\dfrac{x}{3}=\dfrac{11}{21}.\\ \Leftrightarrow\dfrac{7x}{21}=\dfrac{11}{21}.\\ \Rightarrow7x=11.\\ \Leftrightarrow x=\dfrac{11}{7}.\\ c)\dfrac{x}{3}=\dfrac{16}{24}+\dfrac{24}{36}=\dfrac{2}{3}+\dfrac{2}{3}=\dfrac{4}{3}.\\ \Rightarrow x=4.\\ d)\dfrac{x}{15}=\dfrac{1}{5}+\dfrac{2}{3}=\dfrac{13}{15}.\\ \Rightarrow x=13.\)

bài 1

a,\((\)\(\dfrac{-4}{21}\)\()\)x =\(\dfrac{28}{3}\)\(\times\)\(\dfrac{3}{28}\)

\(\Leftrightarrow\)\(\dfrac{-4}{21}\) x =1

\(\Rightarrow\)x = \(\dfrac{-21}{4}\)

b, \(\dfrac{17}{33}\)x = \(\dfrac{1}{56}\)\(\times\)56

\(\Leftrightarrow\)\(\dfrac{17}{33}\)x = 1

\(\Rightarrow\)x = \(\dfrac{33}{17}\)

bài 2 :

a, A=\(\dfrac{25}{32}\)

số nghịch đảo của A là \(\dfrac{32}{25}\)

B=\(\dfrac{3}{7}\)

số nghịch đảo của B là \(\dfrac{7}{3}\)

b, gọi tổng hai số nghịch đảo 2 số đó là Q

Q= \(\dfrac{32}{25}\) +\(\dfrac{7}{3}\)=\(\dfrac{271}{75}\)

a) \(58+7x=100\)

\(=>7x=100-58\)

\(=>7x=42\)

\(=>x=42:7\)

\(=>x=6\)

b) \(3x-7=28\)

\(=>3x=28+7\)

\(=>3x=35\)

\(=>x=35:3\)

\(=>x=\dfrac{35}{3}\)

c) \(x-56:4=16\)

\(=>x-14=16\)

\(=>x=16+14\)

\(=>x=30\)

d) \(101+\left(36-4x\right)=105\)

\(=>36-4x=105-101\)

\(=>36-4x=4\)

\(=>4x=36-4\)

\(=>4x=32\)

\(=>x=32:4\)

\(=>x=8\)

e) \(\left(x-12\right):12=12\)

\(=>x-12=12.12\)

\(=>x-12=144\)

\(=>x=144-12\)

\(=>x=132\)

f) \(\left(3x-2^4\right).7^3=2.7^4\)

\(=>3x-2^4=2.7^4:7^3\)

\(=>3x-16=2.7=14\)

\(=>3x=14+16\)

\(=>3x=30\)

\(=>x=30:3\)

\(=>x=10\)

i) \(\left(10+2x\right).4^{2011}=4^{2013}\)

\(=>10+2x=4^{2013}:4^{2011}\)

\(=>10+2x=4^2=16\)

\(=>2x=16-10\)

\(=>2x=6\)

\(=>x=6:2\)

\(=>x=3\)

\(#WendyDang\)