https://file.aiquickdraw.com/mathbot/file/1724749270376rzd5kbke.jpg

The image contains two rational equations. Let’s solve each one step by step:

### 1. **Solve the equation:**

\[
\frac{x}{x-1} + \frac{x+1}{x} = \frac{3}{2}
\]

**Step 1: Find a common denominator.**
- The common denominator for all terms is \(2x(x - 1)\).

**Step 2: Multiply each term by the common denominator to eliminate the fractions:**

\[
2x(x-1) \cdot \

Learn how to solve rational equations step-by-step. This problem involves rational expressions and requires finding common denominators. Suitable for high school students in Grades 10-12.

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