Chapter 7: Q. 131 (page 668)

In the following exercises, perform indicated operations.
$\frac{2 x + 7}{10 x - 1} + 3$

Short Answer

Expert verified

The resultant expression is $\frac{4 (x + 8)}{10 x - 1}$ .

Step by step solution

Step 1. GIven Information

The given expression is $\frac{2 x + 7}{10 x - 1} + 3$ .

Step 2. Express with LCD

The LCD of the given terms is $10 x - 1$ .
Express the given expression with the LCD.

$\frac{2 x + 7}{10 x - 1} + 3 = \frac{2 x + 7}{10 x - 1} + \frac{30 x - 3}{10 x - 1}$

Step 3. Simplify

As the denominator is the same for both the terms, perform addition in the numerator and place it over the common denominator.

$\begin{array}{rcl} \frac{2 x + 7 + 30 x - 3}{10 x - 1} & = & \frac{32 x + 4}{10 x - 1} \\ = & \frac{4 (x + 8)}{10 x - 1} \end{array}$

So, the resultant expression is $\frac{4 (x + 8)}{10 x - 1}$ .

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In the following exercises, perform indicated operations.
$\frac{2 x + 7}{10 x - 1} + 3$

Short Answer

Step by step solution

Step 1. GIven Information

Step 2. Express with LCD

Step 3. Simplify

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In the following exercises, perform indicated operations.2x+710x-1+3

Short Answer

Step by step solution

Step 1. GIven Information

Step 2. Express with LCD

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Decision Maths

Discrete Mathematics

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, perform indicated operations.
$\frac{2 x + 7}{10 x - 1} + 3$