Question

Aflati y din egalitatile:
a)65-{2y+[(y:2+12):3+18]:3}:2=12;

b)112+{[(144-5y):4+12y]:2-27}:15=120;

c)150-320:{[34y-(120-4y)]:10+6}=140;

d)125-{250-[175:(720:y+15)+3]x5}:10=105;

e)80-{[(6y-28):2+24]:5+48}:19=75;

f)30-{[(150-7y):2+6x]:5+48}:13=25.

Answer 1

a)65-{2y+[(y:2+12):3+18]:3}:2=12
-{2y+[(y:2+12):3+18]:3}:2=12-65
{2y+[(y:2+12):3+18]:3}:2=53
[(y:2+12):3+18]:3=106-2y
(y:2+12):3+18=318-6y
(y:2+12):3=300-6y
y:2+12=900-18y
0,5y+18y=888
18,5y=888
y=48

b)112+{[(144-5y):4+12y]:2-27}:15=120
{[(144-5y):4+12y]:2-27}:15=8
[(144-5y):4+12y]:2-27=120
[(144-5y):4+12y]:2=147
(144-5y):4+12y=294
36-1,25y+12y=294
10,75y=258
y=24

c)150-320:{[34y-(120-4y)]:10+6}=140
-320:{[34y-(120-4y)]:10+6}=140-150
320:{[34y-(120-4y)]:10+6}=10
[34y-(120-4y)]:10=26
34y-(120-4y)=260
34y-120+4y=260
38y=380
y=10

d)125-{250-[175:(720:y+15)+3]x5}:10=105
-{250-[175:(720:y+15)+3]x5}:10=105-125
{250-[175:(720:y+15)+3]x5}:10=20
-[175:(720:y+15)+3]x5=200-250
[175:(720:y+15)+3]x5=50
175:(720:y+15)+3=10
175:(720:y+15)=7
720:y+15=25
720:y=10
y=72

e)80-{[(6y-28):2+24]:5+48}:19=75
-{[(3y-14)+24]:5+48}:19=75-80
[(3y-14+24):5+48]:19=5
(3y+10):5+48=95
(3y+10):5=47
3y+10=235
3y=225
y=75

f)30-{[(150-7y):2+6y]:5+48}:13=25
-{[(150-7y):2+6y]:5+48}:13=25-30
{[(150-7y):2+6y]:5+48}:13=5
[(150-7y):2+6y]:5=65-48
[(150-7y):2+6y]:5=17
(150-7y):2+6y=85      inmultim cu 2 
150-7y+12y=170
5y=20
y=4