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To find the value of \( y \) given \( x = 11 \) and the equation \( y = |x - 5| \), substitute the value of \( x \) into the equation:

\[
y = |11 - 5| = |6| = 6
\]

Therefore, \( y \) equals 6.

Would you like more details on this calculation or have any other questions? Here are some follow-up questions you might consider:

1. How would the value of \( y \) change if \( x \) was negative?
2. What happens to \( y \) if \( x = 5 \)?
3. Can you explain the properties of the absolute value function?
4. How would you solve this equation if \( x \) was a variable expression?
5. What are the graph characteristics of the function \( y = |x - 5| \)?

**Tip:** Remember that the absolute value function measures the distance of a number from zero on the number line, hence it is always non-negative.

Determine the value of y, if x is 11. y = |x - 5|

Learn how to solve the absolute value equation y = |x - 5| with a step-by-step solution when x equals 11. This problem covers key algebraic concepts related to absolute value, perfect for middle school students in Grades 6-8.

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