Let’s solve the questions step by step based on the uploaded image.

Question 1:

Solve the equation $y - 3 = -6$.

Solution:

1. Add 3 to both sides of the equation: $y - 3 + 3 = -6 + 3$ $y = -3$

Answer: $y = -3$.

Question 2:

Solve the equation $x + 2.5 = 0$.

Solution:

1. Subtract 2.5 from both sides of the equation: $x + 2.5 - 2.5 = 0 - 2.5$ $x = -2.5$

Answer: $x = -2.5$.

Question 3:

Solve the equation $a - \frac{1}{5} = \frac{7}{10}$ and select the correct answer.

Solution:

1. Add $\frac{1}{5}$ to both sides of the equation: $a - \frac{1}{5} + \frac{1}{5} = \frac{7}{10} + \frac{1}{5}$

2. Convert $\frac{1}{5}$ to a fraction with a denominator of 10: $\frac{1}{5} = \frac{2}{10}$

3. Add the fractions: $a = \frac{7}{10} + \frac{2}{10} = \frac{9}{10}$

Answer: $a = \frac{9}{10}$. The correct option is: $\boxed{a = \frac{9}{10}}$

Let me know if you need any further clarifications or explanations!

5 Related Questions:

1. How do you solve linear equations with fractions?
2. What are the steps for converting fractions to have a common denominator?
3. How do you check your solutions to linear equations?
4. What is the importance of isolating the variable in an equation?
5. Can you explain how to solve multi-step equations with variables on both sides?

Tip:

Always perform the same operation on both sides of an equation to maintain equality!