Rearrange the equation to isolate a. (a+b/c)(d-e) = f

To isolate \( a \) in the equation \( \left(\frac{a+b}{c}\right)(d-e) = f \), follow these steps:

1. **Divide both sides by \( d - e \):**
   \[
   \frac{a+b}{c} = \frac{f}{d-e}
   \]

2. **Multiply both sides by \( c \):**
   \[
   a + b = \frac{fc}{d-e}
   \]

3. **Subtract \( b \) from both sides:**
   \[
   a = \frac{fc}{d-e} - b
   \]

Thus, the isolated expression for \( a \) is:
\[
a = \frac{fc}{d-e} - b
\]

Would you like further explanation or details?

Here are 5 related questions:
1. How would you isolate \( b \) in the same equation?
2. What if \( c = 1 \), how does that affect the rearrangement?
3. How can you verify the solution for \( a \)?
4. What happens if \( d = e \), and how would you interpret that?
5. How does this rearrangement apply to real-world scenarios?

**Tip:** Always check the domain restrictions (e.g., \( d \neq e \)) when dividing by an expression.

Learn how to rearrange and isolate the variable 'a' in the equation (a+b/c)(d-e) = f. This algebra problem focuses on step-by-step equation manipulation, making it suitable for students in Grades 9-11.

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