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Question
Solve the following equation by the trial-and-error method: x − 7 = 10
Solution
x − 7= 10
We try several values of x until we get the L.H.S. equal to the R.H.S.
| x | L.H.S. | R.H.S. | Is L.H.S. = R.H.S.? |
| 10 | 10 − 7 = 3 | 10 | No |
| 11 | 11 − 7 = 4 | 10 | No |
| 12 | 12 − 7 = 5 | 10 | No |
| 13 | 13 − 7 = 6 | 10 | No |
| 14 | 14 − 7 = 7 | 10 | No |
| 15 | 15 − 7 = 8 | 10 | No |
| 16 | 16 − 7 = 9 | 10 | No |
| 17 | 17 − 7 = 10 | 10 | Yes |
∴ x = 17
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