In general:
To obtain the subject of the
formula, we:
- Clear fractions by multiplying both sides by the lowest common
denominator.
- Add (or subtract) the same number to (from) each side.
- Multiply (or divide) both sides by the same number.
- Take the square (or square root) of both sides.
- If necessary, rearrange the formula so that the subject of the
formula appears on the LHS.
Example 42
Solution:
Note that we could have obtained t as follows:
We notice that there is no unique method to use. However, it is
necessary to follow the laws of algebra carefully in isolating the
subject.
Example 43
Solution:
First Method
Second Method
Note:
The two methods appear to lead to different results, but they are just
different forms of the same result.
This is the same as the result obtained by the second method.
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