Rozwiaz rownania
a) 1/2x - 2/3 [x-(4x +1 )] = - x+1/4
b) 2/3(3x - 1) - 3/2[2x + 3(x - 2)] = 1
dane naj​.


Odpowiedź :

Odpowiedź:

a)

1/2x - 2/3 [x-(4x +1 )] = - x+1/4

1/2x - 2/3(x - 4x - 1) = -x + 1/4

1/2x - 2/3(-3x - 1) = -x + 1/4

1/2x + 2x + 2/3 = -x + 1/4

2 1/2x + x = 1/4 - 2/3

3 1/2x = 3/12 - 8/12

7/2x = -5/12     /*2/7

x = -5/12 * 2/7 = -5/42

b)

2/3(3x - 1) - 3/2[2x + 3(x - 2)] = 1

2x - 2/3 - 3/2(2x + 3x - 6) = 1

2x - 2/3 - 3/2(5x - 6) = 1

2x - 2/3 - 15/2x + 9 = 1

2x - 7 1/2x = 1 - 8 1/3

-5 1/2x = -7 1/3

-11/2x = -22/3       /*(-2/11)

x = 22/3 * 2/11 = 4/3 = 1 1/3

Szczegółowe wyjaśnienie: