Problem 66 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

The solution is \(0\).

Step 1: Absolute Value Calculation and Substitution

Start by finding the absolute value of x and y. Here, substitute \(x = 2\) and \(y = -5\) into the given expression. The absolute values are \(|2|=2\) and \(|-5|=5\). So the expression becomes \(\frac{|2|}{2}+\frac{|5|}{-5}\).

Step 2: Simplify

Next, simplify the expression. The absolute values become \(\frac{2}{2}+\frac{5}{-5}\). This simplifies to \(1 + -1\).

Step 3: Final Calculation

Lastly, calculate the result of \(1 + -1\). The solution is \(0\).