Question
4)) Solve for \( r \) \( 3=\frac{r+3}{2} \) \( r=\square \)
Ask by Franklin Ayala. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( r=3 \)
Solution
Solve the equation \( 3=\frac{r+3}{2} \).
Solve the equation by following steps:
- step0: Solve for \(r\):
\(3=\frac{r+3}{2}\)
- step1: Swap the sides:
\(\frac{r+3}{2}=3\)
- step2: Cross multiply:
\(r+3=2\times 3\)
- step3: Simplify the equation:
\(r+3=6\)
- step4: Move the constant to the right side:
\(r=6-3\)
- step5: Subtract the numbers:
\(r=3\)
The solution to the equation \(3=\frac{r+3}{2}\) is \(r=3\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To solve the equation \( 3=\frac{r+3}{2} \), start by eliminating the fraction. Multiply both sides by 2, which gives you \( 6 = r + 3 \). Next, isolate \( r \) by subtracting 3 from both sides, resulting in \( r = 6 - 3 \). Therefore, \( r = 3 \). So, the final answer is: \( r = 3 \)