To solve for \( m \) in the equation:

\[
n = \frac{4}{5}(m + 7)
\]

Follow these steps:

1. Multiply both sides of the equation by 5 to eliminate the denominator:

\[
5n = 4(m + 7)
\]

2. Divide both sides by 4 to isolate \( m + 7 \):

\[
\frac{5n}{4} = m + 7
\]

3. Subtract 7 from both sides to solve for \( m \):

\[
m = \frac{5n}{4} - 7
\]

This is the expression for \( m \) in terms of \( n \).

Let me know if you'd like further explanation!

### Related Questions:
1. What is the value of \( m \) if \( n = 2 \)?
2. How would the solution change if \( n = \frac{3}{4}(m + 7) \)?
3. Can you solve for \( n \) in terms of \( m \)?
4. What is the importance of isolating the variable when solving equations?
5. How would the equation look if instead of \( 4/5 \), the coefficient was \( 7/8 \)?

**Tip:** Always perform inverse operations to isolate the variable you're solving for.

Learn how to solve the linear equation n = 4/5(m + 7) for m. This solution uses key algebraic concepts such as inverse operations and provides a detailed step-by-step approach. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation