Question

12a+31=23a-2 2(x-2)-1=5(x-2)-7 4(2y-6)=4y-4 -9n+3=3(8n+45) 20+5m=44+m 27-4k=3-8k 5b+11=7b-3 8a+11=4a-1 -23(-7z+2)=-529 8y+12=12+y 6m+7=2+m

Answer 1

Ответ:

12a+31=23a-2

12а-23а=-2-31

-11а=-33

А=-33:(-11)

А=3

2(x-2)-1=5(x-2)-7

2х-4-1=5х-10-7

2х-5х=4+1-10-7

-3х=-12

Х=-12:(-3)

Х=4

4(2y-6)=4y-4

8у-24=4у-4

8у-4у=24-4

4у=20

У=20:4

У=5

-9n+3=3(8n+45)

-9n+3=24n+135

-9n-24n=135-3

-33n=132

N=132:(-33)

N=-4

20+5m=44+m

5m-m=44-20

4m=24

M=24:4

M=6

27-4k=3-8k

8k-4k=3-27

4k=-24

K=-24:4

K=-6

5b+11=7b-3

5b-7b=-3-11

-2b=-14

B=-14:(-2)

B=7

8a+11=4a-1

8a-4a=-1-11

4a=-12

A=-12:4

A=-3

-23(-7z+2)=-529

161z-46=-529

161z=46-529

161z=-483

Z=-483:161

Z=-3

8y+12=12+y

8y-y=12-12

7y=0

Y=0:7

Y=0

6m+7=2+m

6m-m=2-7

5m=-5

M=-5:5

M=-1

Answer 2

Here are the solutions to the given equations:

1. 12a+31=23a-2

Subtracting 12a from both sides, we get:

31 = 11a - 2

Adding 2 to both sides, we get:

33 = 11a

Dividing both sides by 11, we get:

a = 3

2. 2(x-2)-1=5(x-2)-7

Expanding both sides, we get:

2x - 4 - 1 = 5x - 10 - 7

Simplifying, we get:

2x - 5 = 5x - 17

Adding 17 to both sides, we get:

2x + 12 = 5x

Subtracting 2x from both sides, we get:

12 = 3x

Dividing both sides by 3, we get:

x = 4

3. 4(2y-6)=4y-4

Expanding both sides, we get:

8y - 24 = 4y - 4

Adding 24 to both sides, we get:

8y = 4y + 20

Subtracting 4y from both sides, we get:

4y = 20

Dividing both sides by 4, we get:

y = 5

4. -9n+3=3(8n+45)

Expanding the right side, we get:

-9n + 3 = 24n + 135

Subtracting 24n from both sides, we get:

-33n + 3 = 135

Subtracting 3 from both sides, we get:

-33n = 132

Dividing both sides by -33, we get:

n = -4

5. 20+5m=44+m

Subtracting m from both sides, we get:

20 + 4m = 44

Subtracting 20 from both sides, we get:

4m = 24

Dividing both sides by 4, we get:

m = 6

6. 27-4k=3-8k

Adding 8k to both sides, we get:

27 + 4k = 3

Subtracting 27 from both sides, we get:

4k = -24

Dividing both sides by 4, we get:

k = -6

7. 5b+11=7b-3

Adding 3 to both sides, we get:

5b + 14 = 7b

Subtracting 5b from both sides, we get:

14 = 2b

Dividing both sides by 2, we get:

b = 7

8. 8a+11=4a-1

Subtracting 4a from both sides, we get:

4a + 11 = -1

Subtracting 11 from both sides, we get:

4a = -12

Dividing both sides by 4, we get:

a = -3

9. -23(-7z+2)=-529

Expanding both sides, we get:

161z - 46 = -529

Adding 46 to both sides, we get:

161z = -483

Dividing both sides by 161, we get:

z = -3

10. 8y+12=12+y

Subtracting y from both sides, we get:

7y + 12 = 12

Subtracting 12 from both sides, we get:

7y = 0

Dividing both sides by