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(a) Complete the table and by inspection of the table, find the solution to the equation m + 10 = 16.
| m | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | … |
| m + 10 | − | − | − | − | − | − | − | − | − | − | − |
(b) Complete the table and by inspection of the table, find the solution to the equation 5t = 35.
| t | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | … |
| 5t | − | − | − | − | − | − | − | − | − | − |
(c) Complete the table and find the solution of the equation z/3 = 4 using the table.
| z | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | ... |
|
|
| 3 |
| − | − | − | − | − | − | − |
(d) Complete the table and find the solution to the equation m − 7 = 3
| m | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | … |
| m − 7 | − | − | − | − | − | − | − | − | − | − |
Asked by Vivek Last Modified
Answer 
Harshit Bhardwaj
(a) For m + 10, the table can be constructed as follows.
| m | m + 10 |
| 1 | 1 + 10 = 11 |
| 2 | 2 + 10 = 12 |
| 3 | 3 + 10 = 13 |
| 4 | 4 + 10 = 14 |
| 5 | 5 + 10 = 15 |
| 6 | 6 + 10 = 16 |
| 7 | 7 + 10 = 17 |
| 8 | 8 + 10 = 18 |
| 9 | 9 + 10 = 19 |
| 10 | 10 + 10 = 20 |
By inspection, we can find that m = 6 is the solution of the above equation as for m = 6, m + 10 = 6 + 10 = 16
(b) For 5t, the table can be constructed as follows.
| t | 5t |
| 3 | 5 × 3 = 15 |
| 4 | 5 × 4 = 20 |
| 5 | 5 × 5 = 25 |
| 6 | 5 × 6 = 30 |
| 7 | 5 × 7 = 35 |
| 8 | 5 × 8 = 40 |
| 9 | 5 × 9 = 45 |
| 10 | 5 × 10 = 50 |
| 11 | 5 ×11 = 55 |
By inspection, we can find that t = 7 is the solution of the above equation as for t = 7, 5t = 5 × 7 = 35
(c) For 
, the table can be constructed as follows.
| z |
|
| 8 |
|
| 9 |
|
| 10 |
|
| 11 |
|
| 12 |
|
| 13 |
|
| 14 |
|
| 15 |
|
| 16 |
|
By inspection, we can find that z = 12 is the solution of the above equation as for z = 12, = 4
(d) For m − 7, the table can be constructed as follows.
| m | m − 7 |
| 5 | 5 − 7 = − 2 |
| 6 | 6 − 7 = − 1 |
| 7 | 7 − 7 = 0 |
| 8 | 8 − 7 = 1 |
| 9 | 9 − 7 = 2 |
| 10 | 10 − 7 = 3 |
| 11 | 11 − 7 = 4 |
| 12 | 12 − 7 = 5 |
| 13 | 13 − 7 = 6 |
By inspection, we can find that m = 10 is the solution of the above equation as for m = 10, m − 7 = 10 − 7 = 3
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