Rozwiąż równanie i sprawdź rozwiązanie.
a) 4.x + 1 = 25 c) 16 + 2 . x = 18
b) 9+ 3.x = 15 d) 5.x - 6 = 9
e) 2.x + 5 = -9
f) 23 +4 . x = 7



Odpowiedź :

a)

4 · x + 1 = 25

4x + 1 = 25

4x = 25 - 1

4x = 24 | : 4

x = 6

sprawdzenie:

L = 4 · 6 + 1 = 24 + 1 = 25

P = 25

L = P

b)

16 + 2 · x = 18

16 + 2x = 18

2x = 18 - 16

2x = 2 | : 2

x = 1

sprawdzenie:

L = 16 + 2 · 1 = 16 + 2 = 18

P = 18

L = P

c)

9 + 3 · x = 15

9 + 3x = 15

3x = 15 - 9

3x = 6 | : 3

x = 2

sprawdzenie:

L = 9 + 3 · 2 = 9 + 6 = 15

P = 15

L = P

d)

5 · x - 6 = 9

5x - 6 = 9

5x = 9 + 6

5x = 15 | : 5

x = 3

sprawdzenie:

L = 5 · 3 - 6 = 15 - 6 = 9

P = 9

L = P

e)

2 · x + 5 = -9

2x + 5 = -9

2x = -9 - 5

2x = -14 | : 2

x = -7

sprawdzenie:

L = 2 · (-7) + 5 = -14 + 5 = -9

P = -9

L = P

f)

23 + 4 · x = 7

23 + 4x = 7

4x = 7 - 23

4x = -16 | : 4

x = -4

sprawdzenie:

L = 23 + 4 · (-4) = 23 - 16 = 7

P = 7

L = P

Odpowiedź:

4 * x + 1 = 25

4x = 25 - 1

4x = 24    /:4

x = 6

spr

4 * 6 + 1 = 24 + 1 = 25

9 + 3 * x = 15

3x = 15 - 9

3x = 6   /:3

x = 2

spr

9 + 3 * 2 = 9 + 6 = 15

16 + 2 * x = 18

2x = 18 - 16

2x = 1   /:2

x = 1

spr

16 + 2 * 1 = 16 + 2 = 18

5 * x - 6 = 9

5x = 9 + 6

5x = 15   /:5

x = 3

spr

5 * 3 - 6 = 15 - 6 = 9

2 * x + 5 = -9

2x = -9 - 5

2x = -14    /:2

x = -7

spr    

2 * (-7) + 5 = -14 + 5 = -9

23 - 4 * x = 7

4x = 23 - 7

4x = 16  /:4

x = 4

spr

23 - 4 * 4 = 7 = 23 - 16 = 7