To solve for \( y \) in the equation \( 9y - 3x = 18 \), follow these steps:

### Step 1: Isolate the \( y \)-term.
Add \( 3x \) to both sides of the equation to get:
\[
9y = 3x + 18
\]

### Step 2: Solve for \( y \).
Now divide everything by 9 to isolate \( y \):
\[
y = \frac{3x + 18}{9}
\]
Simplify:
\[
y = \frac{3x}{9} + \frac{18}{9}
\]
\[
y = \frac{x}{3} + 2
\]

So, the solution is:
\[
y = \frac{x}{3} + 2
\]

Would you like more details on how the simplification was done, or any other part of the process?

Here are some related questions you might find helpful:
1. How do you solve linear equations with two variables?
2. What is the slope-intercept form of a linear equation?
3. How do you graph the equation \( y = \frac{x}{3} + 2 \)?
4. What is the slope and y-intercept of the line \( y = \frac{x}{3} + 2 \)?
5. How do you convert between different forms of linear equations?

**Tip:** When solving equations, always aim to isolate the variable step by step, using inverse operations (addition/subtraction, multiplication/division).

Learn how to solve the linear equation 9y - 3x = 18 step-by-step, covering algebraic manipulation and expressing the equation in slope-intercept form. 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