👤

8. Rezolvați ecuațiile în mulțimea numerelor reale: a) 4(x + 2) - 3x = -17; d) 32-7(x-5) = 3(x - 1); g) 14-8(x + 3) = 2x; i) 6(x-4)+44= 4(2x+1)+2x; k) 3(x+2)-8= 2(4x + 3) - 3x; m) 4(x + 5)-5(x+3)=x-5; o) 3(2x + 3)-2(3x + 2) = -3(x + 2) + 2; r) x-15 + 3(x + 1) = 5(x-2) + 11; b) 6(x + 5)-3x = 21; e) 4(x-6) + 2x = 18; c) 11-3(x+5) = 2x + 1; f) 4(x + 7)-15 = 3x; h) 6(x+3) -4 = 2x - 42; j) 5(2x - 3) - 4x = 3(x-8) +63; 1) 4(3x + 2) + 3(2x + 3) = 7(2x + 5) + 28; n) 2(x + 3)-3(2x + 1) = 8(2x-1)-9; p) -3x + 5 - 4(x - 1) = -2(x + 1) - 24; s) 5(x + 2)-2(2x + 3) = 34 - 5x.tot 100pct​

Răspuns :

Răspuns:

a)

4x + 8 - 3x = -17

x = -25

d)

32 - 7x + 12 = 3x - 3

-10x = --47

x = 47/10 = 4,7

g)

14 - 8x - 24 = 2x

-10x = 10

x = -1

i)

6x - 24 + 44 = 8x + 4 + 2x

-4x = -16

x = 4

k)

3x + 6 - 8 = 8x + 6 - 3x

-2x = 8

x = -4

m)

4x + 20 - 5x - 15 = x - 5

-2x = -10

x = 5

o)

6x + 9 - 6x - 4 = -3x - 6 + 2

3x = -9

x = -3

r)

x - 15 + 3x + 3 = 5x - 10 + 11

-x = 13

x = -13

b)

6x + 30 - 3x = 21

3x = -9

x = -3

e)

4x - 24 + 2x = 18

6x = 32

x = 32/6 = 5,(3)

c)

11 - 3x - 15 = 2x + 1

-5x = 5

x = -1

f)

4x + 28 - 15 = 3x

x = -13

h)

6x + 18 - 4 = 2x - 42

4x = -56

x = -14

j)

10x - 15 - 4x = 3x - 24 + 63

3x = 54

x = 18

l)

12x + 8 + 6x + 9 = 14x + 35 + 28

4x = 46

x = 46/4 = 23/2 = 11,5

n)

2x + 6 - 6x - 3 = 16x - 8 - 9

-20x = -20

x = 1

p)

-3x + 5 - 4x + 4 = -2x - 2 - 24

-5x = -35

x = 7

s)

5x + 10 - 4x - 6 = 34 - 5x

6x = 30

x = 5