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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.

The image contains a list of algebraic equations. The user might want to solve these equations.

Learn how to solve a variety of linear equations with step-by-step explanations. This problem covers essential algebraic concepts, including solving for variables and finding the intersection of lines. Ideal for students in Grades 7-10.

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