The image you uploaded contains a list of algebraic equations. I will extract and solve them one by one.

1. Equation 1: $y = \frac{1}{2}x + 5$

2. Equation 2: $2x + 3y = -6$

3. Equation 3: $2x + 4y = 10$

4. Equation 4: $3x - 2y = 7$

5. Equation 5: $y = -x + 3$

6. Equation 6: $y = 2x + 1$

7. Equation 7: $2x - 3y = -9$

8. Equation 8: $x + 2y = 3$

9. Equation 9: $x - 3y = 7$

10. Equation 10: $4x - 2y = 6$

11. Equation 11: $y = 3x - 2$

12. Equation 12: $x - 2y = -3$

13. Equation 13: $x = 2$

14. Equation 14: $3 - 4y = 9$

Would you like to solve any specific equation(s) or have a detailed explanation of any particular one?

Here are five possible questions or tasks related to this:

1. How do you solve the first equation for $x$?
2. Can you find the intersection point for the first and second equations?
3. What is the solution to equation 14 for $y$?
4. Solve equation 5 for $x$.
5. How can you graph equation 6 on a coordinate plane?

Tip: When solving linear equations with two variables, it can be helpful to express one variable in terms of the other and then substitute into the second equation.