Solve Equation B8169D
1. **State the problem:** Solve the equation $$30000x + 67500y + 30000xy = 39375$$ for one variable in terms of the other.
2. **Rewrite the equation:** Group terms involving $x$:
$$30000x + 30000xy + 67500y = 39375$$
3. **Factor $x$ out of terms where it appears:**
$$30000x(1 + y) + 67500y = 39375$$
4. **Isolate the term with $x$:**
$$30000x(1 + y) = 39375 - 67500y$$
5. **Solve for $x$:**
$$x = \frac{39375 - 67500y}{30000(1 + y)}$$
6. **Simplify the fraction:**
Divide numerator and denominator by 375:
$$x = \frac{105 - 180y}{80(1 + y)}$$
7. **Final expression:**
$$\boxed{x = \frac{105 - 180y}{80(1 + y)}}$$
This expresses $x$ in terms of $y$. You can substitute any value of $y \neq -1$ to find $x$.