Question
Solve the following equations by trial and error method:
$\frac{\text{x}}{4}= 12$
$\frac{\text{x}}{4}= 12$
✓
Answer
$\frac{\text{x}}{4}=12$
Here, $\text{L.H.S.}=\frac{\text{x}}{4}$ and R.H.S. = 12
Since R.H.S. is a natural number, $\frac{\text{x}}{4}$ must also be a natural number, so we must substitute values of x that are multiples of 4.
Therefore, if x = 48, L.H.S. = R.H.S.
Hence, x = 48 is the solution to this equation.
Here, $\text{L.H.S.}=\frac{\text{x}}{4}$ and R.H.S. = 12
Since R.H.S. is a natural number, $\frac{\text{x}}{4}$ must also be a natural number, so we must substitute values of x that are multiples of 4.
| X | L.H.S. | R.H.S. | Is L.H.S. = R.H.S. |
| $16$ | $\frac{16}{4}=4$ | $12$ | No |
| $20$ | $\frac{20}{4}=5$ | $12$ | No |
| $24$ | $\frac{24}{4}=6$ | $12$ | No |
| $28$ | $\frac{28}{4}=7$ | $12$ | No |
| $32$ | $\frac{32}{4}=8$ | $12$ | No |
| $36$ | $\frac{36}{4}=9$ | $12$ | No |
| $40$ | $\frac{40}{4}=10$ | $12$ | No |
| $44$ | $\frac{44}{4}=11$ | $12$ | No |
| $48$ | $\frac{48}{4}=12$ | $12$ | Yes |
Hence, x = 48 is the solution to this equation.
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