Question

VA ROG E URGENT



Rezolvaţi în Z următoarele ecuaţii, apoi verificați soluțiile obţinute:
a) 2(x + 1) - 5 = x - 3 ;
c) 4(x + 3) - 7 = 5x - 1 ;
d) 4x + 3 = 6 - 3(x - 9) ;
f) 2x - 7(x + 3) = 2x - 35 ;
e) 1 + 2(x + 5) = 3x - 9 ;
b) 3 + 5(x - 2) = 3x - 7
g) 8 - (4x - 1) = - 3(2x - 1)
h) 8 - 5(x - 4) = 6 + 3(x + 6)
i) 4(x + 1) - 5(2 - x) = 2(x - 1) - 3(x - 2) ;
j) 2(x + 1) - 4(- x - 1) = 5(x + 3) + 3(x - 1) .​

Answer 1

Explicație pas cu pas:

a) 2(x + 1) - 5 = x - 3

2x + 2 - 5 = x - 3

2x - x = -3 - 2 + 5

x = 0

c) 4(x + 3) - 7 = 5x - 1

4x + 12 - 7 = 5x - 1

4x - 5x = -1 -12 +7

-x = -13 + 7

-x = -6

x = 6

d) 4x + 3 = 6 - 3(x - 9)

4x + 3 = 6 - 3x + 27

4x + 3x = 6 +27 - 3

7x = 30

x = 5

f) 2x - 7(x + 3) = 2x - 35

2x - 7x + 21 = 2x - 35

-5x -2x = -35 - 21

-7x = -56

x = 8

e) 1 + 2(x + 5) = 3x - 9

1 + 2x + 10 = 3x - 9

2x - 3x = - 9 - 1 - 10

-x = -10 - 10

x = 20

b) 3 + 5(x - 2) = 3x - 7

3 + 5x - 10 = 3x - 7

5x - 3x = - 7 - 3 + 10

2x = 0

x = 0

g) 8 - (4x - 1) = - 3(2x - 1)

8 - 4x + 1 = - 6x + 3

-4x + 6x = 3 - 8 -1

2x = -6

x = -3

h) 8 - 5(x - 4) = 6 + 3(x + 6)

8 - 5x -20 = 6 + 3x + 18

-5x - 3x = 6 + 18 - 8 + 20

-8x = 6 + 10 + 20

-8x = 36

8x = -36

x = 36/8

x = 9/2

i) 4(x + 1) - 5(2 - x) = 2(x - 1) - 3(x - 2)

4x + 4 - 10 + 5x = 2x - 2 - 3x + 6

4x + 5x - 2x + 3x = - 2 + 6 - 4 + 10

9x + x = 4 - 4 + 10

10x = 10

x = 1

j) 2(x + 1) - 4(- x - 1) = 5(x + 3) + 3(x - 1)

2x + 2 + 4x + 4 = 5x + 15 + 3x - 3

2x + 4x - 5x -3x = 15 - 3 - 2 - 4

6x - 8x = 12 - 2 - 4

-2x = -6

2x = 6

x = 3

sper ca te am ajutat!