solving equation and check the solution

Question

1.) t + 7 = 12

2.) h - 3 = 8

3.) 8 = b - 9

4.) k - 4 = - 14

5.) m + 9 = - 7

6.) y - 10 = - 3

7.) - 14 = 2 + d

8.) 15 + n = 10

9.) -8 = r - 6

10.) 11 = w - 5

11.) - 9 = g + 9

12.) 12 + c = 16

Answer 1

1) t + 7 = 12

Subtract 7 from each side

t + 7 - 7 = 12 - 7

t  = 12 - 7

t  = 5

CHECK:-

An equation t + 7 = 12, on substitute t = 5.

5+ 7 = 12

12 = 12

The check solution is true.

The solution is t = 5.

Answer 2

2) Given equation is h - 3 = 8.

Add 3 to each side 

h - 3 + 3 = 8 + 3

h = 8 + 3

h = 11

Check:

An equation h - 3 = 8, Substitute h = 11.

11 - 3  = 8

8 = 8

The check solutions is true.

The solution is h = 11.

Answer 3

3.   Given equation :  8 = b - 9

          Adding 9 on both sides

             8 + 9  =  b - 9 + 9

             8 + 9  =  b

             17 = b

            Therefore , b = 17

   Check :  Given  8 = b - 9

              Substitute b = 17 in above equation

                   8 = 17 - 9

                    8 = 8

              The check  solution is true

               The solution is b = 17

Answer 4

4. Given equation ,

    k - 4 = - 14

    Add 4 to each side

     k - 4 + 4 = - 14 + 4

    k = - 14 + 4

    k = - 10

   Check : k - 4 = - 14

    Subsistute k = - 10 in above equation

     - 10 - 4 = - 14 

      - 14 = - 14

     The check solution is true

    The solution is k = - 10

 

Answer 5

5) Given equation is m + 9 = - 7

Subtract 9 from each side

m + 9 - 9 = - 7 - 9

m = - 16

Check :

An equation m + 9  = -7, substitute m = - 16

- 16 + 9  = -7

- 7 = - 7

The check solution is true.

The solution is m = - 16 .

Answer 6

6) Given equatiion is y - 10 = -3

Add 10 to each side

y - 10 + 10 = - 3 + 10

y = - 3 + 10

y = 7

Check :

An equation y - 10 = - 3 , substitute y =7

7 - 10 = - 3 

- 3 = -3

The check solution is true

Tha solution is y = 7

 

Answer 7

7) Given equation is - 14 = 2 + d

Subtract 2 from both sides

- 14 - 2 = 2 + d - 2

- 14 - 2 = d

- 16 = d

Therefore d = -16

Check : 

An equation - 14 = 2 + d , substitute d = -16

- 14 = 2 + ( - 16)

- 14 = 2 - 16

- 14 = -14

The check solution is true

The solution is d = -16

Answer 8

8)  Given equation is 15 + n = 10

Subtract 15 from each side

15 + n -15 = 10 - 15

n = 10 - 15

n = - 5

Check : 

An equation is 15 + n = 10 , substitute n = - 5

15 - 5 = 10 

10 = 10

The check solution is true,

The solution is n = - 5

 

Answer 9

9) Given equation is - 8 = r - 6

Add 6 to each side

-8 + 6 = r - 6 + 6

- 8 + 6 = r

- 2 = r

Therefore r = - 2

Check :

An equation is - 8 = r - 6 , substitute r = -2

- 8 = - 2 - 6

- 8 = - 8 

The check solution is true

The solution is r = - 2

Answer 10

10) Given equation is 11 = w - 5

Add 5 to each side

11 + 5 = w - 5 + 5

11 + 5 = w

16 = w

Therefore w = 16

Check :

An equation 11 = w - 5 , substitute w = 16

11 = 16 - 5

11 = 11

The check solution is true

The solution is w = 16.