Question

4. Rezolvați ecuațiile:
a) 2 - 5x = -8 + 5x;
–5x – 5x = +8-25-10x= -10 5 x = 1;
b) 2(x+8) = 5x +1;
c) 3x – 5x =1;
d) 2(x - 1) = 3x +3;
e) -2(5 – 2x) = x;
1 x + x +1+x = -5;
g) 6-4(x + 3) = 8;
h) x+1= 3x - 7;
i) -2- x = 3 - (2-x);
j) 4 = 5x + 2(3 – x);​

Answer 1

Răspuns:

Explicație pas cu pas:

b) 2(x+8) = 5x +1;

2x + 16 = 5x + 1

5x - 2x = 16 - 1

3x = 15

x = 5

__________

c) 3x – 5x =1;

-2x = 1

x = -1/2

__________

d) 2(x - 1) = 3x +3;

2x - 2 = 3x + 3

3x - 2x = -2 - 3

x = -5

_____________

e) -2(5 – 2x) = x;

-10 + 4x = x

4x - x = 10

3x = 10

x = 10/3

______________

f nu este clar

_____________

g) 6-4(x + 3) = 8;

6 - 4x - 12 = 8

6 - 12 - 8 = 4x

4x = -14

x = -14/4 = -7/2

_____________

h) x+1= 3x - 7;

3x - x = 7 + 1

2x = 8

x = 8/2 = 4

____________

i) -2- x = 3 - (2-x);

-2 - x = 3 - 2 + x

x + x = -2 - 3 + 2

2x = -3

x = -3/2

__________

j) 4 = 5x + 2(3 – x)

4 = 5x + 6 - 2x

3x = 4 - 6 = -2

x = -2/3