Problem 64
Question
Evaluate each algebraic expression for x = 2 and y = -5. $$|x|-|y|$$
Step-by-Step Solution
Verified Answer
The result of the expression |x| - |y| when x equals 2 and y equals -5 is -3.
1Step 1: Substituting Values
Begin the exercise by replacing the values of x and y given in the problem into the algebraic expression. |x| - |y|, when substituting x=2, y =-5 becomes |2| - |-5|.
2Step 2: Calculating Absolute Values
Use the absolute value routine to determine the non-negative values of 2 and -5. The absolute value of 2 is 2 and the absolute value of -5 is 5. So, this gives us 2 - 5.
3Step 3: Compute the expression
By subtracting, we exercise our basic arithmetic skills. 2 - 5 equals -3. So, the result of |x| - |y| when x equals 2 and y equals -5 is -3.
Other exercises in this chapter
Problem 64
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simplify each complex rational expression. $$ \frac{x-\frac{x}{x+3}}{x+2} $$
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Factor completely, or state that the polynomial is prime. $$3 x^{3}-3 x$$
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