To solve the equation \( 7a - b = 15 \) for \( a \), follow these steps:

### Step-by-Step Solution:
1. Add \( b \) to both sides of the equation to isolate the term with \( a \):
   \[
   7a = 15 + b
   \]

2. Divide both sides of the equation by 7 to solve for \( a \):
   \[
   a = \frac{15 + b}{7}
   \]

So, the solution for \( a \) is:
\[
a = \frac{15 + b}{7}
\]

Would you like to explore any details about this process or substitutions? 

Here are 5 related questions for further practice:
1. If \( b = 3 \), what is the value of \( a \)?
2. Solve \( 4a - b = 9 \) for \( a \).
3. What is the value of \( a \) if \( 7a - 2 = 15 \)?
4. Solve \( 5a - b = 20 \) for \( a \).
5. How would you solve \( 3a - b = 7 \) for \( b \)?

**Tip:** When solving for a variable, always isolate it step by step, using basic operations like addition, subtraction, multiplication, or division.

Learn how to solve the linear equation 7a - b = 15 for a with a clear, step-by-step solution. This problem explores key algebraic concepts, including basic equation manipulation and variable isolation techniques, suitable 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