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

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Identify the given expression: \(|x| + |y|\), where \(x = 2\) and \(y = -5\).

Recall that the absolute value function \(|a|\) gives the non-negative value of \(a\), so \(|a| = a\) if \(a \geq 0\), and \(|a| = -a\) if \(a < 0\).

Calculate \(|x|\) by substituting \(x = 2\). Since 2 is positive, \(|2| = 2\).

Calculate \(|y|\) by substituting \(y = -5\). Since -5 is negative, \(|-5| = -(-5) = 5\).

Add the results: \(|x| + |y| = 2 + 5\).

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