To solve the equation \(7y - 3 = 3 + 6y\), follow these steps:

1. **Isolate the variable**: Start by getting all terms involving \(y\) on one side and constant terms on the other side.

   \[
   7y - 6y = 3 + 3
   \]

   This simplifies to:

   \[
   y = 6
   \]

2. **Check the solution**: Substitute \(y = 6\) back into the original equation to verify.

   \[
   7(6) - 3 = 3 + 6(6)
   \]
   \[
   42 - 3 = 3 + 36
   \]
   \[
   39 = 39 \quad \text{(True)}
   \]

The solution is \(y = 6\).

Would you like more details or have any questions? Here are some related questions you might consider:

1. What methods can be used to solve linear equations?
2. How can you graph the equation \(7y - 3 = 3 + 6y\)?
3. What are some real-world applications of linear equations?
4. How do you check solutions for equations effectively?
5. Can you explain the concept of slope in relation to linear equations?

**Tip**: Always check your solution by substituting it back into the original equation!

Discover the step-by-step solution to the linear equation 7y - 3 = 3 + 6y. This problem illustrates key algebraic concepts, including isolating variables and checking solutions, 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