Problem 62
Question
Evaluate each algebraic expression for x = 2 and y = -5. $$|x-y|$$
Step-by-Step Solution
Verified Answer
The value of \(|x - y|\) for \(x = 2\) and \(y = -5\) is 7.
1Step 1: Substituting the Values
First, substitute the given values for x and y into the expression. This replaces 'x' with 2 and 'y' with -5. So, the expression |x-y| becomes |2 - (-5)|.
2Step 2: Simplify the Expression
Then, calculate the expression inside the absolute value symbols. Here 2 - (-5) simplifies to 2 + 5, which gives 7.
3Step 3: Apply the Absolute Value
Finally, apply the absolute value operation. The absolute value of 7 is 7 because 7 is a positive number. That is, |7| equals 7.
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Problem 62
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