Question

Solve the equation for the given variable.
Upper A equals left parenthesis StartFraction r plus b Over 2 EndFraction right parenthesis m for r
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Part 1
r equals
  
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Answer 1

To solve the equation \( A = \left( \frac{r + b}{2} \right) m \) for \( r \), follow these steps:

1. Start with the equation:
\[
A = \left( \frac{r + b}{2} \right) m
\]

2. Multiply both sides by \( 2 \) to eliminate the fraction:
\[
2A = (r + b) m
\]

3. Divide both sides by \( m \) (assuming \( m \neq 0 \)):
\[
\frac{2A}{m} = r + b
\]

4. Subtract \( b \) from both sides to isolate \( r \):
\[
r = \frac{2A}{m} - b
\]

Thus, the solution for \( r \) is:
\[
r = \frac{2A}{m} - b
\]