Problem 63 - Algebra and Trigonometry

Question

Evaluate each algebraic expression for x = 2 and y = -5. $$|x|+|y|$$

Step-by-Step Solution

Answer

The result of the algebraic expression \(|x|+|y|\) for \(x = 2\) and \(y = -5\) is 7.

Step 1: Substitute given values

First step will be to substitute given x and y values into the function. Therefore, \(|x| + |y|\) becomes \(|2| + |-5|\).

Step 2: Apply absolute function to each term

Apply the absolute value function to each term independently. Since 2 is positive, \(|2|\) equals to 2. And |-5| equals to 5 because the absolute value of a negative number is its positive counterpart.

Step 3: Calculate final result

Now add these two absolute values together. So, 2 + 5 = 7.