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rezolvați ecuatiile in Q:a)3/4x-1 intreg2/3=-3intreg1/3+1intreg 1/4x ;b)5/6x=-3intreg 2/3-x ;c) 1/4x=-2intreg1/4+x ;d)2x+1/2=-0,75+1/3x ;e)0,(4)x-1intreg1/2=-0,(5)x+0,5 f) 0,5x+1intreg1/3=-0,3x+0,(3).


Răspuns :

Răspuns:

Explicație pas cu pas:

a) 3/4x - 1 intreg 2/3 = -3intreg1/3 + 1intreg 1/4x

3/4x - 5/3 = -10/3 + 5/4x

5/4x - 3/4x = 10/3 - 5/3

2/4x = 5/3

x = 5/3 : 2/4 = 5/3*4/2 = 10/3

b)5/6x = -3intreg 2/3 - x

5/6x + x = -11/3

11/6x = -11/3

x = -11/3 : 11/6 = -11/3*6/11 = -2

c) 1/4x = -2intreg1/4 + x

x - 1/4x = 9/4

3/4x = 9/4

x = 9/4 : 3/4 = 9/4*4/3 = 3

d) 2x + 1/2 = -0,75 + 1/3x

2x - 1/3x = -0,75 - 1/2

5/3x = -75/100 - 1/2 = -3/4 - 2/4 = -5/4

x = -5/4 : 5/3 = -5/4*3/5 = -3/4

e) 0,(4)x - 1intreg1/2 = -0,(5)x + 0,5

4/9x - 3/2 = -5/9x + 5/10

4/9x + 5/9x = 3/2 + 1/2

9/9x = 4/2

x = 2

f) 0,5x + 1intreg1/3 = -0,3x + 0,(3)

5/10x + 4/3 = -3/10x + 3/9

5/10x + 3/10x =1/3 - 4/3

8/10x = -3/3 = -1

x = -10/8