Wyrażenia algebraiczne
a) 3x - 4 = 5x - 6
b) 2x - 8 + 3x - 2 = 6 + x
c) -5x + 4 = 3 - 2(x + 4)
d) 7(x + 2) - x = 5(x - 2)
e) -(x + 1) + 8x = 5x - 9
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Odpowiedź :

Qno

Odpowiedź:

a) 3x - 4= 5x - 6

6-4= 5x - 3x

2= 2x | :2

1=x

b) 2x - 8 + 3x - 2 = 6 + x

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

4x = 16 | : 4

x= 4

c) -5x + 4 = 3 - 2(x + 4)

-5x + 4 = 3 - 2x -8

4 - 3 + 8 = 5x - 2x

9 = 3x | : 3

3 = x

d) 7( x + 2) - x = 5(x - 2)

7x + 14 - x = 5x - 10

7x - x - 5x = - 10 - 14

x = -24

e) -(x+1) + 8x = 5x - 9

-x - 1 + 8x = 5x - 9

-x + 8x - 5x = 1 - 9

2x = -8 | : 2

x = -4

a.

3x - 4 = 5x - 6

3x - 5x = -6 + 4

-2x = -2 | : -2

x = 1

b.

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

5x - 10 = 6 + x

5x - x = 6 + 10

4x = 16 | :4

x = 4

c.

-5x + 4 = 3 - 2 (x + 4)

-5x - 4 = 3 - 2x - 8

-5x - 4 = -2x - 5

-5x + 2x = -5 + 4

-3x = -1 | :-3

x = 1/3

d.

7 (x + 2) - x = 5 (x - 2)

7x + 14 - x = 5x - 10

6x + 14 = 5x - 10

6x - 5x = -10 - 14

x = -24

e.

-(x + 1) + 8x = 5x - 9

-x - 1 + 8x = 5x - 9

7x - 1 = 5x - 9

7x - 5x = -9 + 1

2x = -8 | :2

x = -4

Mam nadzieje, ze pomogłam :))