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10 Rozwizz rownanie. Sprawdz otrzymane rozwiazanie.
a) 6x - 4(7x+ 2) = 2(2x + 1)
b) 6.x - 4(5x+ 2) = 2(2x - 4)
c ) 6x - 4(5x+ 2) = 2(-2x -4)


Odpowiedź :

Odpowiedź:

a)

6x - 4(7x+ 2) = 2(2x + 1)

6x - 28x - 8 = 4x + 2

- 22x - 8 = 4x + 2

- 22x - 4x = 2 + 8

- 26x = 10

x= 10 : (-26)

x= - 10/26

x= - 5/13

spr.

6x - 4(7x+ 2) = 2(2x + 1)

L = 6x -4(7x + 2) = 6 * (-5/13) - 4(7*(- 5/13) + 2) = -30/13 - 4*(-35/13 + 26/13) =

= - 30/13 - 4*(-9/13) = - 30/13 + 36/13= 6/13

P= 2(2x +1) = 2*(2* (-5/13) + 1) = 2*(- 10/13 + 13/13) = 2*3/13= 6/13

6/13 = 6/13

L=P

b)

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

6x - 20x - 8 = 4x - 8

- 14x - 8 = 4x - 8

- 14x - 4x = - 8 + 8

- 18x= 0

x= 0

spr.

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

L= 6x - 4(5x + 2) = 6*0 - 4(5*0 + 2) = 0 - 4(0 + 2) = - 4*2= - 8

P = 2(2x - 4) = 2(2*0 - 4) = 2(0 - 4) = 2*(-4) = - 8

-8 = - 8

L=P

c )

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

6x - 20x - 8 = - 4x - 8

- 14x - 8 = - 4x - 8

- 14x + 4x = - 8 + 8

- 10x = 0

x= 0

spr.

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

L = 6x - 4(5x+ 2) = 6*0 - 4(5*0 + 2) = 0 - 4(0+2) = 0 - 4*2 = 0 - 8 = - 8

P = 2(-2x -4) = 2(-2*0 - 4) = 2(0 - 4) = 2*(-4) = - 8

- 8 = - 8

L=P

Szczegółowe wyjaśnienie: