Question

rezolvati in mulțimea numerelor rationale ecuațiile:
a) 3(2x-11)= 2x-41
b) 11x-1=4(7x+5)
c)5(1-4x)=-7-16x
d)2(5×-4)=7x-20
e)20x+13=6(5x-7)

va rogg....​

Answer 1

Explicație pas cu pas:

3(2x-11)= 2x-41

6x - 33 = 2x - 41

6x - 2x = 33 - 41

4x = (-8) / : 4

x = - 2

b) 11x-1=4(7x+5)

11x - 1 = 28x + 20

11x - 28x = 20 + 1

- 17x = 21 / × (-1)

17 x = -21

x = - 21 / 17

x = -1 4/17

c)5(1-4x)=-7-16x

5 - 20x = -7 - 16x

-20x + 16 x = -7 -5

-4x = - 12 /×(-1)

4x = 12 / : 4

x = 3

d)2(5×-4)=7x-20

10x - 8 = 7x - 20

10x - 7x = 8 - 20

3x = -12 / :3

x = -4

e)20x+13=6(5x-7)

20x + 13 = 30x - 42

20x - 30x = -13 - 42

-10x = - 55 / ×(-1)

10x = 55 / :5

2x = 11

x = 11/2

x = 5 1/2

Answer 2

Răspuns:

Explicație pas cu pas:

a) 3(2x-11)= 2x-41       6x-33=2x-41         4x=33-41    4x=-8      x=-2

b) 11x-1=4(7x+5)       11x-1=28x+20          17x=-21      x=-21/17

c)5(1-4x)=-7-16x     5-20x=-7-16x          4x=12       x=3

d)2(5×-4)=7x-20   10x-8=7x-20     3x=-12        x=-4

e)20x+13=6(5x-7)    20x+13=30x-42    10x=55     x=5,5