To solve the equation \( 3x - 5y + 11 = 0 \) for \( y \), follow these steps:

1. **Isolate the term with \( y \):**

   \[
   -5y = -3x - 11
   \]

2. **Divide both sides by \(-5\) to solve for \( y \):**

   \[
   y = \frac{-3x - 11}{-5}
   \]

3. **Simplify the equation:**

   \[
   y = \frac{-3x}{-5} - \frac{11}{-5}
   \]

   \[
   y = \frac{3x}{5} + \frac{11}{5}
   \]

So, the solution is:

\[
y = \frac{3}{5}x + \frac{11}{5}
\]

Do you want more details or have any questions about the solution?

Here are 5 related questions you might find interesting:

1. How would the solution change if the equation were \( 3x + 5y + 11 = 0 \)?
2. What is the slope and y-intercept of the equation \( y = \frac{3}{5}x + \frac{11}{5} \)?
3. How would you graph the equation \( y = \frac{3}{5}x + \frac{11}{5} \)?
4. Can you solve the equation for \( x \) instead of \( y \)?
5. What happens if you multiply the entire equation by 2 before solving for \( y \)?

**Tip:** When simplifying an equation, distribute negative signs carefully to avoid mistakes.

Learn how to solve the linear equation 3x - 5y + 11 = 0 for y with a step-by-step solution. This problem covers key algebraic concepts, including linear equations and solving methods. Suitable for students in Grades 7-9.

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