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To solve the problem, we need to manipulate the equation \( y = 5x - 11 \) so that it is written in terms of \( x \).

### Step-by-step Solution:
Starting with the given equation:
\[
y = 5x - 11
\]

1. **Add 11 to both sides** to get rid of the constant on the right-hand side:
   \[
   y + 11 = 5x
   \]

2. **Divide both sides by 5** to isolate \( x \):
   \[
   x = \frac{y + 11}{5}
   \]

So, the equation equivalent to \( y = 5x - 11 \) in terms of \( x \) is:
\[
x = \frac{y + 11}{5}
\]

### Correct Answer:
Option B: \( x = \frac{y + 11}{5} \)

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Would you like further clarification or details?

Here are 5 related questions to consider:
1. How would you manipulate other linear equations to solve for different variables?
2. What are the steps to check if a rearranged equation is correct?
3. Can you identify other forms of equations and how to rearrange them in terms of different variables?
4. How does this process change if the equation includes more complex functions like squares or cubes?
5. What is the graphical interpretation of rearranging equations?

**Tip:** When rearranging equations, ensure that you perform inverse operations step-by-step, focusing on isolating the variable you need.

Manipulate the equation y = 5x - 11 so that it is written in terms of x. Which equation is equivalent to y = 5x - 11?

Learn how to solve the linear equation y = 5x - 11 in terms of x. This problem covers essential algebra concepts like manipulating linear equations and using inverse operations to isolate variables. Ideal for students in Grades 7-9.

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