Question

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a) 6(x - 1) = 30;

b) (x + 2) - 12 = -60;

c) 3(x - 5) +8 = 17;

d) 5(x - 2) - 11 = 9;

e) 3(2x - 10) -5(x - 3) + 6(3x - 4) = -1;

f) 8(7 - 4y) - 7(4y + 1) = 24 - 5(8y - 1);

g) 7(2x - 5) = -72 + 5(7x – 2) – 2(5x - 7);

h) 3(2x-50) – 2[(3x + 4) - (4x – 5)] = 11 - 2(x - 1) + 3

1​

Answer 1

Răspuns:

a) x=6

b) x=-50

c) x=8

d) x=6

e) x=2

f) y=1

g) x=3

h) x=-32

Explicație pas cu pas:

a) 6(x-1)=30

x-1=5

x=5+1

x=6

b) (x+2)-12=-60

x+2-12=-60

x-10=-60

x=-60+10

x=-50

c) 3(x-5)+8=17

3x-15+8=17

3x-7=17

3x=17+7

3x=24

x=24/3

x=8

d) 5(x-2)-11=9

5x-10-11=9

5x-21=9

5x=9+21

5x=30

x=30/5

x=6

e) 3(2x-10)-5(x-3)+6(3x-4)=-1

6x-30-5x+15+18x-24=-1

19x-39=-1

19x=-1+39

19x=38

x=38/19

x=2

f) 8(7-4y)-7(4y+1)=24-5(8y-1)

56-32y-28y-7=24-40y+5

49-60y=29-40y

-60y+40y=29-49

-20y=-20

y=-20/-20

y=1

g) 7(2x-5)=-72+5(7x-2)-2(5x-7)

14x-35=-72+35x-10-10x+14

14x-35=-68+25x

14x-25x=-68+35

-11x=-33

x=-33/-11

x=3

h) 3(2x-50)-2[(3x+4)+(4x-5)]=11-2(x-1)+31

6x-150-2(3x+4+4x-5)=11-2x+2+31

6x-150-2(7x-1)=11-2x+2+31

6x-150-14x+2=11-2x+2+31

6x-150-14x=11-2x+31

-8x-150=42-2x

-8x+2x=42+150

-6x=192

x=192/-6

x=-32