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Question
Solve the following equation by the trial-and-error method: `1/2x+7=11`
Solution
`1/2x+7=11`
Since R.H.S. is a natural number so L.H.S. must be a natural number Thus, we will try values if x which are multiples of 'x'
| x | L.H.S. | R.H.S. | Is L.H.S. = R.H.S.? |
| 2 | 2/2 + 7 = 8 | 11 | No |
| 4 | 4/2 + 7 = 9 | 11 | No |
| 6 | 6/2 + 7 = 10 | 11 | No |
| 8 | 8/2 + 7 = 11 | 11 | Yes |
∴ x = 8
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