https://file.aiquickdraw.com/mathbot/file/1726667579456j1jvm8dn.jpg

Let's work through the equations visible in the image:

### Top Equation: 
- \( \frac{h - 31}{4} = 2.4 \)
  
Steps to solve:
1. Multiply both sides by 4 to eliminate the denominator:
   \[
   h - 31 = 2.4 \times 4
   \]
   \[
   h - 31 = 9.6
   \]
2. Add 31 to both sides:
   \[
   h = 9.6 + 31
   \]
   \[
   h = 40.6
   \]
   
So, \( h = 40.6 \).

### Second Equation (9):
- \( 42 + 5t = 8t \)

Steps to solve:
1. Subtract \( 5t \) from both sides:
   \[
   42 = 8t - 5t
   \]
   \[
   42 = 3t
   \]
2. Divide both sides by 3:
   \[
   t = \frac{42}{3}
   \]
   \[
   t = 14
   \]

So, \( t = 14 \).

---

Would you like more details or further clarification? Here are a few related questions for practice:

1. How do you handle equations with fractions or decimals?
2. What is the next step after isolating the variable on one side of the equation?
3. How can you verify your solution after solving an equation?
4. Can you apply the same steps for a system of linear equations?
5. How do you solve an equation with variables on both sides?

**Tip:** Always double-check your arithmetic when working with decimals!

Solve the equations: (h - 31) / 4 = 2.4 and 42 + 5t = 8t

Learn how to solve the equations (h - 31) / 4 = 2.4 and 42 + 5t = 8t using basic algebra techniques. This guide covers the step-by-step process of eliminating fractions and isolating variables, suitable for students in Grades 6-8.

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