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Chapter 7: Problem 66

Add or subtract as indicated. Simplify the result, if possible. $$7+\frac{1}{x-5}$$

Short Answer

Expert verified
The simplified expression is \(7+\frac{1}{x-5}\).

Step by step solution

01

Identify The Expression

The given expression is \(7+\frac{1}{x-5}\). In this expression, \(x\) is a variable, and \(7\) is a constant.
02

Identify Possible Simplifications

In this case, there are no fractions with the same denominators or any other like terms that can be added or subtracted to simplify the expression.
03

Final Expression

Since we can't simplify the expression any further, the final expression remains as \(7+\frac{1}{x-5}\).

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Most popular questions from this chapter

perform the indicated operation or operations. Simplify the result, if possible. $$\frac{2 y}{y-5}-\left(\frac{2}{y-5}+\frac{y-2}{y-5}\right)$$

perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{8}-\frac{5}{6}$$

Add or subtract as indicated. Simplify the result, if possible. $$\frac{x}{x+7}-1$$

denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{2 x-y}{x-y}+\frac{x-2 y}{y-x}$$

Solve: \(x^{2}-12 x+36=0 .\) (Section 6.6, Example 4)
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