a ) x :   − 9   =   − 54  x  =   − 54 .   − 9  x  = 486

b ) x  :   − 12   =  18  x  =  18 .   − 12  x  = − 216

c ) x :   − 5   =   − 19  x  =   − 19 . − 5  x  =  95

-(x-6+85)=(x+51)-54

-x+6-85=x+51-54

-x-x=-6+85+51-54

-2x=76

x=-38

-x+6-85=x+51-54

-x-79=x-3

-x-x=-3+79

-2x=76

x=-38

vậy x=-38

a: =>x/-3=3

hay x=-9

b: =>x/9=-1/9

hay x=-1

c: =>x+1/5=-1/3

hay x=-8/15

d: =>-7/x=-7/9

hay x=9

a, \(\dfrac{x}{-3}=3\Leftrightarrow x=-9\)

b, \(\dfrac{x}{9}=-\dfrac{1}{9}\Rightarrow x=-1\)

c, \(\dfrac{x+3}{15}=-\dfrac{6}{15}\Rightarrow x=-9\)

d, \(\dfrac{42}{-54}=-\dfrac{42}{6x}\Rightarrow6x=54\Leftrightarrow x=9\)

1,\(54.\left(23-11\right)+23.\left(-22-54\right)\)

\(=54.12+23.\left(-76\right)\)

\(=648-1748\)

\(=-1100\)

2,\(-7+2x=-17-\left(-36\right)\)

\(=>-7+2x=-17+36\)

\(=>-7+2x=19\)

\(=>2x=19+7=26\)

\(=>x=\frac{26}{2}=13\)

3,\(5⋮2a+3\)

\(=>2a+3\inƯ\left(5\right)\)

\(=>2a+3\in\left\{-1;-5;1;5\right\}\)

\(=>2a\in\left\{-4;-8;-2;2\right\}\)

\(=>a\in\left\{-2;-4;-1;1\right\}\)

Vậy ...

54 . ( 23 - 11 ) + 23 . ( -22 - 54 )

=54.23-54.11+23.-22-23.54

=-54.11+23.-22

=-22(27+23)

=-22.50

=-1100

-7 + 2x = -17 - ( -36 ) 

-7+2x=-17+36

-7+2x+17-36=0

-26+2x=0

2x=26

x=13

Vậy x=13

Để \(5⋮\left(2a+3\right)\Leftrightarrow\left(2a+3\right)\inƯ\left(5\right)\)

\(\Leftrightarrow\left(2a+3\right)\in\left\{\pm1;\pm5\right\}\)

\(\Leftrightarrow a\in\left\{-1;-2;1;-4\right\}\)

Bài 1:

54. (23-11) + 23.(-22-54) = 54.23-11.54 -23.22 - 54.23

                                        = (54.23-54.23) -(11.54+23.22)

                                        = 0 - (11.54 +23.11.2)

                                        = 0 - 11.(54+23.2)

                                        = 0 - 11. 100

                                       = -1100

Bài 2:                        -7 +2x = -17 -(-36)

                                  -7 +2x = 19

                                       2x  = 26

                                         x  = 13

Bài 3:        Ta có: \(5⋮\left(2a+3\right)\) 

\(\Rightarrow2a+3\inƯ\left(5\right)\)

\(\Rightarrow2a+3\in\left\{-5;-1;1;5\right\}\)

\(\Rightarrow2a\in\left\{-8;-4;-2;2\right\}\)

\(\Rightarrow a\in\left\{-4;-2;-1;1\right\}\)

x 2 + 3 y = 5 4 x y + 6 2 y = 5 4 4 x y + 6 = 10 y 2 x y + 12 = 5 y 2 x y − 5 y = − 12 y 2 x − 5 = − 12

Vì x,y nguyên; 2x-5  − 12 = 1. − 12 = 12. − 1 = 2. − 6 = 6. − 2 = 3. − 4 = 4. − 3

nên

Vậy  x ; y = − 1 ; 4 ;    2 ; 12 ;    3 ; − 12 ;    4 ; − 4

54 + ( - 8 ) + x = 3 . x

46 + x = 3 . x

46 = 3 . x - x

46 = 2 .x

x = 23

b ,   3x + 8 chia hết cho x - 1 

   Mà x - 1 chia hết cho x - 1

=>   3 ( x - 1 ) chia hết cho x - 1

=>  3x - 3 chia hết cho  x - 1

=>  3x + 8 - 3x - 3 chia hết cho x - 1

=> 5 chia hết cho x - 1

=>  x - 1 \(\in\) Ư ( 5 )

=>  x - 1 \(\in\) { 1 , -1 , 5 , -5 }

=> x \(\in\) { 2 ; 0 ; 6 ; -4 }

a)\(x-\left(-24\right)=3\)

\(x+24=3\)

\(x=3-24\)

\(x=-21\)

b)\(22-\left(-x\right)=12\)

\(\Rightarrow22+x=12\)

\(\Rightarrow x=12-22\)

\(\Rightarrow x=-10\)

c) \(\left(27-x\right)+\left(15+x\right)=x-24\)

\(\Rightarrow27-x+15+x=x-24\)

\(\Rightarrow42=x-24\)

\(\Rightarrow66=x\)

d)\(x+x-\left(-4\right)=x+2\)

\(\Rightarrow x+x+4=x+2\)

\(\Rightarrow x+x-x=2-4\)

\(\Rightarrow x=-2\)

câu 2 :

\(-37+54+\left(-70\right)+9-163+246\)

\(=\left(-37-163\right)+\left(246+54\right)+\left(-70\right)+9\)

\(=-200+200+-61\)

\(=-61\)

\(\frac{7}{-9}=\frac{-21}{27}=\frac{-42}{54}\)

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