To solve the equation \( x - 2y = 11 \) for \( y \), follow these steps:

1. Start with the given equation:
   \[
   x - 2y = 11
   \]

2. Isolate the term with \( y \) by subtracting \( x \) from both sides:
   \[
   -2y = 11 - x
   \]

3. Divide both sides of the equation by \(-2\) to solve for \( y \):
   \[
   y = \frac{11 - x}{-2}
   \]

4. Simplify the expression:
   \[
   y = \frac{-x + 11}{2}
   \quad \text{or} \quad
   y = -\frac{x}{2} + \frac{11}{2}
   \]

So, the solution is:
\[
y = -\frac{x}{2} + \frac{11}{2}
\]

Would you like further details on how I solved this equation or have any other questions?

Here are 5 related questions:
1. How would you solve \( x + 3y = 9 \) for \( y \)?
2. How can you graph \( y = -\frac{x}{2} + \frac{11}{2} \)?
3. What are the x-intercept and y-intercept of the equation \( y = -\frac{x}{2} + \frac{11}{2} \)?
4. How do you find the slope of the line \( y = -\frac{x}{2} + \frac{11}{2} \)?
5. What happens if you solve for \( x \) in the equation \( x - 2y = 11 \)?

**Tip:** When solving for a variable, always isolate the term involving the variable first before performing other operations.

Learn how to solve the linear equation x - 2y = 11 for y with a step-by-step guide. This problem involves algebraic techniques for isolating variables and simplifying linear equations. Suitable for students in Grades 6-8.

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