Question

COROANA.
Aflati solutiile ecuatiilor:
a) x+3/2-1/2+2x+7/10=1
b) 11x-4/4+1-x/2=6-x
c) x-4/6-x/5+3/2=2x-1/10
d)1-x/3+1+3x/4=2x-1
e) 7x-12/5+19-6x/7=x/2+x-1/5

Answer 1

x+3/2-1/2+2x+7/10=1
3x=1-2/2-7/10
3x=1-1-7/10
x=-7/10:3=-7/10*1/3
x=-7/30

11x-4/4+1-x/2=6-x
11x+x-x/2=6
12x-x/2=6
24x/2-x/2=6
23x/2=6
x=6*2/23
x=12/23

x-4/6-x/5+3/2=2x-1/10
x-2x-x/5=-1/10+4/6-3/2
-x-x/5=-3/30+20/30-45/30
-5x/5-x/5=-28/30
-6x/5=-24/15
x=24*5/12*6=120/72
x=20/12
x=5/3

1-x/3+1+3x/4=2x-1  nmc=12
12-4x+12+9x=24x-12
5x-24x=-12-24
-19x=-36
x=36/19      x=1,894

7x-12/5+19-6x/7=x/2+x-1/5   
7x-6x/7-x/2+x=-1/5+12/5+19
98x/14-12x/14-7x/14+14x/14=11/5+19
93x/14=11/5+95/5
93x/14=106/5
x=106*14/5*93=1484/465
x=3,191