It seems like you're referring to two equations for the hourly wage, but the specific equations weren't provided. However, I'll walk you through how to add and simplify the equations to find the new hourly wage $y$.

Let the store manager's wage equation be $y_1$, and the business owner's wage equation be $y_2$.

1. Step 1: Write both equations in terms of $y_1$ and $y_2$ (hourly wages based on different conditions).

   • Suppose the store manager's wage is given by $y_1 = f(x)$, where $f(x)$ is a function of the number of hours worked or some other variable.
   • Suppose the business owner's wage is given by $y_2 = g(x)$, where $g(x)$ is another function.

2. Step 2: Add the two wage equations. $y = y_1 + y_2$ So, $y = f(x) + g(x)$.

3. Step 3: Simplify the resulting equation to express the total wage $y$.

Since I don't have the exact equations yet, you'll need to provide the actual functions for $y_1$ and $y_2$ in order for me to simplify it further. Feel free to share more details about the wage functions!

Would you like to clarify the equations or get more details on how to approach such problems?

Relative Questions:

1. What are the store manager's and business owner's original wage equations?
2. How are the hourly wage functions related to the number of hours worked?
3. Are there any additional conditions for overtime or bonuses in these wage equations?
4. What variables affect the hourly wage in each equation besides time worked?
5. How does the simplified wage compare to individual wages in real-world scenarios?

Tip:

When adding equations, always ensure you combine like terms carefully and check if there's a common factor to simplify the expression.