Final answer:
The value of x for the equation 336 - x = 10 is 326, which is derived using basic algebraic steps. For other examples, assumptions about the smallness of x compared to other numbers may simplify the process.
Step-by-step explanation:
To find the value of x, we need to address two equations presented and evaluate the value both with the positive and negative sign in the numerator.
For the first equation x - 10 = ?, which seems to aim at finding a fraction equivalent to -21, not enough information is provided to solve it directly. However, for the second equation 336 - x = 10, we can use simple algebra to find x:
- 336 - x = 10
- 336 - 10 = x
- x = 326
The given examples suggest using reasoning and assumptions about the relative magnitude of x in comparison to other values, such as assuming x is much less than 0.200 or that the extent of a chemical reaction is very small. Using this reasoning, we identify that x is typically assumed to be small in context to other numbers in a problem about concentration.
Similarly, when dealing with powers and exponents, we know that a negative exponent indicates that the term is in the denominator. For example, x-1 is the same as 1/x.
In conclusion, without additional context or information, we can find x for the second equation but not for the first. In scientific problems, assumptions about the magnitude of x in relation to other numbers often simplifies the process to find x.