Question

5. Rezolvaţi în Z ecuațiile: a) 2x – 1 = -3; b) 3x + 1 = 7; d) 10x + 1 = -29; e) 4x – 8 = -16; g) 3x – 9 = -9; h) 20x + 1 = - 19; c) 5x – 1 = -16; f) -9x + 1 = 19; i) -2x + 5 = -7.​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 2x - 1 = - 3

2x = - 3 + 1

2x = - 2

x = - 2 : 2 = - 1

b) 3x + 1 = 7

3x = 7 - 1

3x = 6

x = 6 : 3 = 2

d) 10x + 1 = - 29

10x = - 29 - 1

10x = - 30

x = - 30 : 10 = - 3

e) 4x - 8 = - 16

4x = - 16 + 8

4x = - 8

x = - 8 : 4 = - 2

g) 3x - 9 = - 9

3x = - 9 + 9

3x = 0

x = 0 : 3 = 0

h) 20x + 1 = - 19

20x = - 19 - 1

20x = - 20

x = - 20 : 20 = - 1

c) 5x - 1 = - 16

5x = - 16 + 1

5x = - 15

x = - 15 : 5 = - 3

f) - 9x + 1 = 19

- 9x = 19 - 1

- 9x = 18

x = 18 : (- 9) = - 2

i) - 2x + 5 = - 7

- 2x = - 7 - 5

- 2x = - 12

x = - 12 : (- 2) = 12 : 2 = 6

Answer 2

a) 2x-1=-3
2x=-2
x=-1
b) 3x+1=7
3x=6
X=2
d)10x+1=-29
10x=-30
X=-3
e) 4x-8=-16
4x=-8
X=-2
G)3x-9=-9
3x=0
X=0
h)20x+1=-19
20x=-20
x=-1
c)5x-1=-16
5x=-15
X=-3
F)-9x+1=19
-9x=18
X=-2
I)-2x+5=-7
-2x=-12
X=6