Final answer:
To solve for t in the equation q = s + t, you subtract s from both sides to get t = q - s. This algebraic approach is straightforward and does not require extra variables that are not included in the initial equation.
Step-by-step explanation:
To solve q = {(s + t) for t, we should isolate t on one side of the equation. Since this formula has overly general symbols and could represent a variety of physics or mathematics problems, let's focus on a straightforward algebraic solution assuming q is given and we are seeking to find t.
Step-by-Step Solution:
- Start with the given equation, q = s + t.
- To isolate t, subtract s from both sides of the equation to get t = q - s.
- The solution for t is now expressed in terms of q and s: t = q - s.
Looking at the provided options:
- Option a: t = -s is simply the negation of s, which doesn't account for q at all, so it cannot be a universal solution based on the initial equation.
- Option b: t = 2q - s is doubling q before subtracting s, which does not follow our derived solution unless q is originally understood to be half of its stated value.
- Option c: t = 2q - s - r adds an extra variable r, which is not part of our initial equation and thus not solvable without additional information.
- Option d: t = 2r - s also introduces an extra variable r, and does not directly solve our initial equation for t.
Therefore, the best way to express t in terms of q and s, without any additional information, is t = q - s.