Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( c = \frac{10 - 11r}{7} \)
Solution
To solve for \( c \) in the equation:
\[
-7c + 10 = 11r
\]
follow these steps:
1. **Isolate the term containing \( c \):**
\[
-7c = 11r - 10
\]
2. **Solve for \( c \) by dividing both sides by -7:**
\[
c = \frac{11r - 10}{-7}
\]
3. **Simplify the expression:**
\[
c = \frac{10 - 11r}{7}
\]
**Final Answer:**
\[
c = \frac{10 - 11\,r}{7}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To isolate \( c \), start by subtracting 10 from both sides of the equation: \[-7c + 10 - 10 = 11r - 10\] This simplifies to: \[-7c = 11r - 10\] Next, divide both sides by -7 to solve for \( c \): \[c = \frac{10 - 11r}{7}\] And there you have it! \( c \) in terms of \( r \) is given by \( c = \frac{10 - 11r}{7} \).
