Question
Solve for r: \( 11 c=-8+5 r \)
Ask by Burton Greene. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( r = \frac{11c + 8}{5} \)
Solution
To solve the equation \( 11 c = -8 + 5 r \) for \( r \), follow these steps:
1. **Isolate the term containing \( r \):**
\[
11c = -8 + 5r
\]
Add 8 to both sides to move the constant term to the left side:
\[
11c + 8 = 5r
\]
2. **Solve for \( r \):**
Divide both sides of the equation by 5 to isolate \( r \):
\[
r = \frac{11c + 8}{5}
\]
**Final Answer:**
\[
r = \frac{11\,c + 8}{5}
\]
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To isolate \( r \) in the equation \( 11 c = -8 + 5 r \), we'll start by getting \( r \) on one side. First, we can add \( 8 \) to both sides to eliminate the -8: \[ 11 c + 8 = 5 r \] Next, we divide both sides by \( 5 \): \[ r = \frac{11 c + 8}{5} \] And there you have it! \( r \) is expressed in terms of \( c \).