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Chapter 0: Problem 13

Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{5(x+2)}{2 x-14}, \text { for } x=10$$

Short Answer

Expert verified
The value of the algebraic expression \(\frac{5(x+2)}{2 x-14}\) for \(x = 10\) is 10.

Step by step solution

01

Substitution Step

First, substitute the given value of the variable in place of x in the expression. Here, \(x = 10\). So the expression becomes: \(\frac{5(10+2)}{2(10)-14} = \frac{5(12)}{20-14}\)
02

Simplification Step

Next, simplify the expression. This involves arithmetic operations within the numerator and the denominator. So, \(\frac{5(12)}{6} = \frac{60}{6}\)
03

Final Evaluation

Lastly, simplify the fraction by dividing the numerator by the denominator. This results in: \(60 / 6 = 10\)

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