Question

9. Rezolvaţi în mulțimea Q ecuațiile:

Answer 1

a. x+3/4=7/8

x=7/8-3/4

x=1/8

c. 2 4/5+2 1/4×x= 3 2/5

14/5+9/4x=17/5

56+45x=68

45x=12

x=4/15

e. (2 5/6-1 1/3):(x+1)=5/2

(2 5/6-1 1/3):(x+1)=5/2,x≠-1

(17/6-4/3)×1/x+1=5/2

3/2-1/x+1=5/2

5/2(x+1)=5/2

6=10(x+1)

6=10x+10

-10x=10-6

-10x=4

x=-2/5, x≠-1

x=-2/5

g. 7/9+2x-1/6=1 5/6-1 5/6×x

7/9+2x-1/6=11/6-11/6x

14+3(2x-1)=33-33x

14+6x-3=33-33x

11+6x=33-33x

6x+33x=33-11

39x=22

x=29/33

i. (x-3)×1 1/2+1/6=2 1/6×x-3 1/3

(x-3)×3/2+1/6=13/6 x -10/3

3/2 x-9/2+1/6=13/6 x -10/3

3/2 x-13/3=13/6 x-10/3

9x-26=13x-20

9x-13x=-20+26

-4x=6

x=-3/2

k. 2/5 x- 1 2/3=-2 1/3-1 1/5×x

2/5x-5/3=-7/3-6/5 x

6x-25=-35-18x

6x-18x=-35+25

24x=-10

x=-5/12

Mult succes la școală și să ai note bune la teze și evaluări!