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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q19. (page 731)

Find each sum or difference.
$\frac{3}{x} + \frac{6}{x}$

Short Answer

Expert verified

$\frac{9}{x}$

Step by step solution

Step 1. Add.

Let $x, y$ and $z$ be polynomials with $z \neq 0$ , such that, role="math" localid="1648020813273" $\frac{x}{z} + \frac{y}{z} = \frac{x + y}{z}$ .

Step 2. Add.

Find the sum.

$\frac{3}{x} + \frac{6}{x} = \frac{3 + 6}{x}$

Step 3. Simplify.

Simplify the obtained expression.

$\frac{9}{x}$

Therefore, the sum of given expression is $\frac{9}{x}$ .

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Most popular questions from this chapter

Jason received a \(50 gift certificate for his birthday. He wants to buy a DVD and a poster from a media store. (Assume that sales tax is included in the prices.) Write and solve a linear inequality to show how much he would have left to spend after making these purchases.

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Simplify the given expression. State the excluded values of the variables.

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Simplify each expression.

$\frac{\frac{a - 4}{a^{2} + 6 a + 8}}{\frac{a^{2} - 3 a - 4}{a^{2} - a - 6}}$

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

If the product of two variables is a nonzero constant, the relationship is an inverse variation.

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The expression $\frac{\frac{1}{2}}{\frac{3}{4}}$ can be simplified torole="math" localid="1648038502144" $\underline{\frac{2}{3}}$ .

See all solutions

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Find each sum or difference.3x+6x

Short Answer

Step by step solution

Step 1. Add.

Step 2. Add.

Step 3. Simplify.

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Find each sum or difference.
$\frac{3}{x} + \frac{6}{x}$