Here are the solutions for the systems of equations given:

1. **\(4x - 3y = 1\)**
**\(3x + 2y = 1\)**
- **Solution:** \((x, y) = (1, 1)\)

2. **\(2x - y = 5\)**
**\(3x + y = 10\)**
- **Solution:** \((x, y) = (5, 1)\)

3. **\(x - 3y = 2\)**
**\(x - 2y = 3\)**
- **Solution:** \((x, y) = (5, 1)\)

4. **\(3x + y = 1\)**
**\(-2x + 5y = 1\)**
- **Solution:** \((x, y) = (1, -2)\)

5. **\(x + 2y = 4\)**
**\(x + 3y = -2\)**
- **Solution:** \((x, y) = (-2, 3)\)

6. **\(2x + y = 4\)**
**\(-3x + y = 7\)**
- **Solution:** \((x, y) = (-1, 6)\)

7. **\(5x - 4y = 11\)**
**\(5x - 4y = 3\)**
- **No solution (inconsistent equations)**

8. **\(x + 3y = -1\)**
**\(-x + 3y = 2\)**
- **Solution:** \((x, y) = (1, -1)\)

9. **\(3x + y = 3\)**
**\(2x - y = 8\)**
- **Solution:** \((x, y) = (4, -9)\)

10. **\(2x + y = 4\)**
**\(3x + 3y = 6\)**
- **Solution:** \((x, y) = (0, 4)\)

Continue this process for the remaining pairs of equations, using substitution or elimination methods as needed. If you have any specific systems from the list you'd like solved, feel free to ask!