👤

Rezolvați în Z ecuațiile ,va rog repedeee!!!!!
a)9(×-2)=36
b)5(x+3)=2(5×-5)
c)2(4×+1)=2(5×-7)
d)2(-×+5)= -8(3×+2)+4
e)-4-{6-[-3+(-3)+(-5-×)-7]-9}=1
f)-10•{-2-2•[(-4)⁵ : 4⁴-2]}=-2× ​


Răspuns :

Răspuns:

a)

9(x-2) = 36

x - 2 = 36 : 9

x - 2 = 4

x = 4 + 2

x = 6

b)

5(x + 3) = 2(5x - 5)

5x + 15 = 10x - 10

5x - 10x = -10 - 15

-5x = -25

x = - 25 : (-5)

x = 5

c.)

2(4x + 1) = 2(5x - 7)

8x + 2 = 10x - 14

8x - 10x = -14 - 2

-2x = -16

x = -16 : (-2)

x = 8

d)

2(-x + 5) = -8(3x + 2) + 4

-2x + 10 = -24x - 16 + 4

-2x + 10 = -24x - 12

-2x + 24x = -12  - 10

22x = - 22

x = - 22 : 22

x = - 1

e)

-4 - {6 - [-3 + (-3) + (-5 - x) - 7] - 9} = 1

-4-[6-[-13 -5 - x] - 9} = 1

[6-[-13 -5 - x] - 9} = - 4 - 1

6 - [-13 -5 - x] - 9 = - 5

6 - [-18 - x] = -5 + 9

6 - (-18 - x) = 4

- 18 - x = 6 - 4

-18 - x = 2

x = -18 - 2

x = - 20