Final answer:
To verify if the value of x satisfies an equation, identify the knowns, solve for x, substitute back into the original equation, and check for reasonableness and consistency with the problem's context.
Step-by-step explanation:
To determine if the value of x satisfies each equation, you should follow these steps:
- Make a list of what is given or can be inferred from the problem. Identify the knowns.
- Find an appropriate equation or set of equations that can help solve the problem.
- Solve the equation for the unknown value which in this case is x.
- Substitute the known values, along with their units, into the equation, and obtain numerical solutions complete with units.
- Check your answer to see if it is reasonable: Does the value of x make sense in the context of the problem? Are units correct and the numbers involved reasonable?
By substituting the solution back into the original equation and checking if the left side equals the right side, you can verify if x satisfies the equation. If there are multiple solutions, determine which makes sense in the context of the problem and discard any that are physically impossible or outside the domain of observed values.