Math Problem Statement

Find the value of the given expression if x = 3 and y = -3. |x - 5y|

Solution

The expression you're asked to evaluate is x5y|x - 5y|, where x=3x = 3 and y=3y = -3.

To find the value, substitute x=3x = 3 and y=3y = -3 into the expression:

x5y=35(3)|x - 5y| = |3 - 5(-3)|

Simplify inside the absolute value:

=3+15=18= |3 + 15| = |18|

Since the absolute value of 18 is 18, the value of the expression is:

1818

Would you like any further clarification on this? Here are some related questions to deepen your understanding:

  1. What is the definition of absolute value and how does it affect negative numbers?
  2. How would you evaluate x5y|x - 5y| if x=2x = -2 and y=4y = 4?
  3. What are some common mistakes when simplifying expressions with absolute value?
  4. Can you simplify x+3y1|x + 3| - |y - 1| with specific values for xx and yy?
  5. How can you graph absolute value functions like y=xy = |x|?

Tip: Remember, the absolute value of any number represents its distance from zero on the number line, so the result is always non-negative.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Substitution
Basic Algebra

Formulas

|x - 5y|

Theorems

Absolute value function

Suitable Grade Level

Grades 6-8