Question

14
10. Rezolvă în R ecuatiile:
a) 5x + 2 = 3x; b) 2 + 7x = -6x;
c) - 3x = 27; d) V2x = -5/6.
e) 3(x + 2)-(x - 2).(-3) = 2x-3(x+13) +10;
f) 273(2x + 1) - 3/3(1-2x) = 5(273x - 3) + 4.
1:​

Answer 1

a) 5x+2=3x
5x-3x=-2
2x=-2
x=-1

b) 2+7x=-6x
7x+6x=-2
13x=-2
x=-2/13

c) -3x=27
x=-27/3
x=-9

d) 2x=-5/6
x=-5/(6*2)
x=-5/12

e) 3(x+2)-(x-2)(-3)=2x-3(x+13)+10
3x+6-(-3x+6)=2x-3x-26+10
3x+6+3x-6=-x-16
6x=-x-16
7x=-16
x=-16/7

f) 273(2x+1)-3/3(1-2x)=5(273x-3)+4
546x+273-1+2x=1365x-15+4
548x+272=1365x-11
1365x-548x=272+11
817x=283
x=283/817