Question

3. Rezolvați următoarele ecuații, unde x e R:



a) 2/3-X=7/10

b) 1 3/5+X=7/10

c) 2 2/5-X=3/4​

Answer 1

Răspuns:

a) 2/3-X=7/10

-³⁰⁾x=³⁾7/10-¹⁰⁾2/3

-30x=21-20

-x=1/30=>x= -1/30

______________

b) (1·5+3)/5+x=7/10

8/5+x=7/10

¹⁰⁾x=7/10-²⁾8/5

10x=7-16

x= -9/10

___________

c) (2·5+2)/5-x=3/4

⁴⁾12/5-²⁰⁾x=⁵⁾3/4

48-20x=15

20x=48-15

x=33/20

Answer 2

Răspuns:

Explicație pas cu pas:

a)

2/3 - x = 7/10   |·30

20 - 30x = 21

-30x = 21 - 20

-30x = 1

x = -1/30

------------------------------

b)

1 3/5 + x = 7/10

(1·5+3)/5 + x = 7/10

8/5 + x = 7/10   |·10

16 + 10x = 7

10x = 7 - 16

10x = -9

x = -9/10

------------------------------

c)

2 2/5 - x = 3/4

(2·5+2)/5 - x = 3/4

12/5 - x = 3/4      | ·20

48 - 20x = 15

-20x = 15 - 48

-20x = -33

x = 33/20