Question
Solve for R. Remember to perform a check. \( \frac{R}{7}=10 \)
Ask by Ruiz French. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( R = 70 \)
Solution
To solve the equation \( \frac{R}{7} = 10 \) for \( R \) and perform a check, follow these steps:
### Step 1: Solve for \( R \)
The equation is:
\[
\frac{R}{7} = 10
\]
To isolate \( R \), multiply both sides of the equation by 7:
\[
R = 10 \times 7
\]
\[
R = 70
\]
### Step 2: Perform a Check
Substitute \( R = 70 \) back into the original equation to verify the solution:
\[
\frac{70}{7} = 10
\]
\[
10 = 10
\]
Since both sides of the equation are equal, the solution \( R = 70 \) is correct.
### **Final Answer**
\[
R = 70
\]
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
To solve for \(R\), you need to isolate \(R\) in the equation \( \frac{R}{7}=10 \). Start by multiplying both sides of the equation by 7: \[ R = 10 \times 7 \] This simplifies to: \[ R = 70 \] Now, let's perform a quick check to ensure our solution is correct. Substitute \(R\) back into the original equation: \[ \frac{70}{7} = 10 \] Since this statement is true (10 equals 10), our solution \(R = 70\) is verified!