Let's solve each equation one by one.

Equation 1: $3x - 7 = x + 20$

1. First, subtract $x$ from both sides to get: $3x - x - 7 = 20$ Simplifying, we have: $2x - 7 = 20$

2. Next, add 7 to both sides: $2x = 27$

3. Finally, divide both sides by 2: $x = \frac{27}{2} = 13.5$

Equation 2: $y + 4 = y + 2$

1. Subtract $y$ from both sides: $4 = 2$

Since $4 = 2$ is a false statement, there is no solution for $y$ in this equation. It means the equation is inconsistent.

Final Answer:

• $x = 13.5$
• No solution for $y$

Would you like details on any of these steps or have any questions?

Here are 5 related questions you might find interesting:

1. How do you solve a system of linear equations?
2. What does it mean when an equation has no solution?
3. How do you solve a quadratic equation?
4. What are the different types of solutions for linear equations?
5. How can you graphically represent the solutions of equations?

Tip: Always check your solutions by plugging them back into the original equations to ensure they satisfy all the given conditions.