https://file.aiquickdraw.com/mathbot/file/17268389181139o6trxwt.jpg

Let's solve the three questions from the image based on the given equation \( m = 2n + 1 \):

1. **Question 9: If \( n = 3 \), then \( m = ? \)**

   Plug \( n = 3 \) into the equation:

   \[
   m = 2(3) + 1 = 6 + 1 = 7
   \]

   So, when \( n = 3 \), \( m = 7 \).

2. **Question 10: If \( m = 5 \), then \( n = ? \)**

   Solve for \( n \) when \( m = 5 \):

   \[
   5 = 2n + 1
   \]
   Subtract 1 from both sides:
   \[
   4 = 2n
   \]
   Divide by 2:
   \[
   n = 2
   \]

   So, when \( m = 5 \), \( n = 2 \).

3. **Question 11: If \( m = 12 \), then \( n = ? \) (answer as a decimal)**

   Solve for \( n \) when \( m = 12 \):

   \[
   12 = 2n + 1
   \]
   Subtract 1 from both sides:
   \[
   11 = 2n
   \]
   Divide by 2:
   \[
   n = \frac{11}{2} = 5.5
   \]

   So, when \( m = 12 \), \( n = 5.5 \).

Would you like any further details or explanations? Here are five related questions:

1. What happens to \( m \) when \( n \) increases?
2. Can you express \( n \) in terms of \( m \) from the equation \( m = 2n + 1 \)?
3. How would the equation change if \( m = 2n - 1 \)?
4. How would you find \( m \) if \( n = 0 \)?
5. How can this linear equation be represented graphically?

**Tip:** When solving for a variable, always perform the inverse operations in reverse order of the given equation.

If n=3, then m=?; If m=5, then n=?; If m=12, then n=? (answer as a decimal)

Learn how to solve linear equations using the formula m = 2n + 1. This guide walks through solving for m when n is given, and solving for n when m is given, including a decimal answer for m = 12.

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