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Rozwiąż równania
a) 2x -3 = 5x - 2
b) 4 - 3(x - 2) = 2x
c) 9 - 3(x + 2) = 3(x + 5)
d) 5(x - 2) - 3(1 - 2x) = 4 - (x + 2)
Pls Pomocy dam naj.


Odpowiedź :

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

4 - 3(x - 2) = 2x
4 -3x + 6 = 2x
10-3x=2x
-3x -2x = -10
-5x =-10
x = 2

9 - 3(x + 2) = 3(x + 5)
9-3x-6=3x+15
3-3x=3x+15
-3x-3x =15-3
-6x=12
x=-2

5(x - 2) - 3(1 - 2x) = 4 - (x + 2)
5x-10-3+6x=4-x-2
11x-13=2-x
12x=15
x = 5/4

Odpowiedź:

a) 2x - 3 = 5x - 2

2x - 5x = -2 + 3

-3x = 1

x = [tex]-\frac{1}{3}[/tex]

b) 4 - 3(x - 2) = 2x

4 - 3x + 6 = 2x

-3x - 2x = -6 - 4

-5x = -10

-x = -2

x = 2

c) 9 - 3(x + 2) = 3(x + 5)

9 - 3x - 6 = 3x + 15

-3x - 3x = 15 + 6 - 9

-6x = 12

x = -2

d) 5(x - 2) - 3(1 - 2x) = 4 - (x + 2)

5x - 10- 3 + 6x = 4 - x - 2

5x + 6x + x = 4 - 2 + 3 + 10

12x = 15

x = [tex]\frac{15}{12} =\frac{5}{4}= 1\frac{1}{4}[/tex]

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