To solve the equation \(3y = 13 - 2x\) for one of the variables, we'll rearrange it depending on which variable you want to solve for. Since you haven't specified, I'll show you how to solve for both \(y\) and \(x\).

### Solving for \(y\):
The equation is already in a form that can express \(y\) in terms of \(x\):

\[
y = \frac{13 - 2x}{3}
\]

### Solving for \(x\):
To solve for \(x\), follow these steps:

1. Start with the given equation:
   \[
   3y = 13 - 2x
   \]

2. Subtract 13 from both sides:
   \[
   3y - 13 = -2x
   \]

3. Divide by \(-2\) to isolate \(x\):
   \[
   x = \frac{13 - 3y}{2}
   \]

So, the solutions are:
- \(y = \frac{13 - 2x}{3}\) (if solving for \(y\))
- \(x = \frac{13 - 3y}{2}\) (if solving for \(x\))

Would you like further details on any of these steps? Here are some related questions you might explore:

1. How do you solve a linear equation for one variable in terms of another?
2. What does it mean to express one variable in terms of another?
3. How do you rearrange an equation to isolate a specific variable?
4. How can you graph the equation \(3y = 13 - 2x\)?
5. What are common pitfalls when rearranging equations?

**Tip:** When solving for a variable, carefully perform operations to ensure you isolate the variable correctly, and always check your solution by substituting back into the original equation.

Learn how to solve the linear equation 3y = 13 - 2x step-by-step with detailed explanations and solutions for both variables y and x. Explore concepts in algebra and solving linear equations. Suitable for students in Grades 7-9.

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