To solve the equation \(3y - 3x = 27\), we can start by simplifying and rearranging it.

1. **Divide the entire equation by 3** to make it simpler:
   \[
   \frac{3y - 3x}{3} = \frac{27}{3}
   \]
   This simplifies to:
   \[
   y - x = 9
   \]

2. **Rearrange the equation** to solve for \(y\):
   \[
   y = x + 9
   \]

So, the solution is \( y = x + 9 \). This represents a linear equation where the slope is 1 and the y-intercept is 9.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How would you graph the equation \( y = x + 9 \)?
2. What is the slope of the line represented by \( y = x + 9 \)?
3. If \( x = 3 \), what is the value of \( y \) in the equation \( y = x + 9 \)?
4. How would the equation change if the constant 27 was different, say 18?
5. Can you convert \( y = x + 9 \) to standard form?

**Tip:** When simplifying linear equations, always look for common factors to make the equation easier to work with.

Learn how to solve the linear equation 3y - 3x = 27 with a detailed step-by-step solution. This problem involves simplifying linear equations, rearranging formulas, and understanding the relationship between variables. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation