Question

Решить уравнения: 8b+55=167; 7y+9-5y=13; (720+e)x501=365730; (k+2958):87=134;8e-14=6e+4; (c-3)x12=20-4x(c+2) Записать системы неравенств двойными неравенствами: a>37 b<5 e>75 a<46 29<b 97>e

Answer 1

8b+55=167

b=14

 

7y+9-5y=13

y=2

 

(720+e)x501=365730

e=10

 

(k+2958):87=134

k=8700

 

8e-14=6e+4

e=9

(c-3)x12=20-4x(c+2)

c=6

 37<a<46

 5<b<29

75<e<97

Answer 2

8b+55=167

8b=167-55

8b=112

b=112:8

b=14            

8*14+55=167

      167=167

Ответ: b=14.

 

7y+9-5y=13

2у=13-9

2у=4

у=4:2

у=2                     

7*2+9-5*2=13

           13=13

Ответ: у=2.

 

(720+e)*501=365730

720+е=365730:501

720+е=730

е=730-720

е=10                          

(720+10)*501=365730

         365730=365730

Ответ: е=10.

 

(k+2958):87=134

k+2958=134*87

k+2958=11658

k=11658-2958

k=8700                   

(8700+2958):87=134

                  134=134

Ответ: k=8700.

 

8e-14=6e+4

8е-6е=4+14

2е=18

е=18:2

е=9                           

8*9-14=6*9+4

      58=58

Ответ: е=9.

 

(c-3)*12=20-4*(c+2)

12с-36=20-4с-8

12с+4с=12+36

16с=48

с=48:16

с=3                             

(3-3)*12=20-4*(3+2)

          0=0

Ответ: с=3.

 

37<a<46

наверное, в условии перепутаны знаки, должно быть b>5 и b<29, тогда 5<b<29

75<e<97

Answer 3

Уравнение 1: 8b + 55 = 167

To solve this equation, we want to isolate the variable b.

First, let's subtract 55 from both sides of the equation:

8b + 55 - 55 = 167 - 55

This simplifies to:

8b = 112

Next, we divide both sides of the equation by 8 to solve for b:

8b/8 = 112/8

b = 14

So the solution to the equation 8b + 55 = 167 is b = 14.

Уравнение 2: 7y + 9 - 5y = 13

To solve this equation, we want to isolate the variable y.

First, let's combine like terms on the left side of the equation:

7y - 5y + 9 = 13

This simplifies to:

2y + 9 = 13

Next, we subtract 9 from both sides of the equation:

2y + 9 - 9 = 13 - 9

This simplifies to:

2y = 4

Finally, we divide both sides of the equation by 2 to solve for y:

2y/2 = 4/2

y = 2

So the solution to the equation 7y + 9 - 5y = 13 is y = 2.

Уравнение 3: (720 + e) x 501 = 365730

To solve this equation, we want to isolate the variable e.

First, let's simplify the equation:

(720 + e) x 501 = 365730

Next, we can distribute the 501 to the terms inside the parentheses:

720 x 501 + e x 501 = 365730

Simplifying further:

360720 + 501e = 365730

Now, let's isolate the variable e by subtracting 360720 from both sides of the equation:

360720 + 501e - 360720 = 365730 - 360720

This simplifies to:

501e = 5010

Finally, we divide both sides of the equation by 501 to solve for e:

501e/501 = 5010/501

e = 10

So the solution to the equation (720 + e) x 501 = 365730 is e = 10.

Уравнение 4: (k + 2958) / 87 = 134

To solve this equation, we want to isolate the variable k.

First, let's simplify the equation:

(k + 2958) / 87 = 134

Next, we can multiply both sides of the equation by 87 to eliminate the fraction:

87 * (k + 2958) / 87 = 134 * 87

This simplifies to:

k + 2958 = 11658

Now, let's isolate the variable k by subtracting 2958 from both sides of the equation:

k + 2958 - 2958 = 11658 - 2958

This simplifies to:

k = 8700

So the solution to the equation (k + 2958) / 87 = 134 is k = 8700.

Уравнение 5: 8e - 14 = 6e + 4

To solve this equation, we want to isolate the variable e.

First, let's simplify the equation:

8e - 14 = 6e + 4

Next, let's move all terms containing e to one side of the equation and