Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q27.

Expert-verified

Pre-algebra

Found in: Page 696

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Solve the equation by first clearing the fractions.
$- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$

The solution is $x = \frac{13}{18}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The equation is $- \frac{1}{12} = \frac{1}{2} x - \frac{4}{9}$ .

Step 2. Calculation.

First, find out the LCD and then the LCD has to substitute each side.

$\begin{matrix} - \frac{1}{12} = \frac{1}{2} x - \frac{4}{9} \\ 36 (- \frac{1}{12}) = 36 (\frac{1}{2} x - \frac{4}{9}) \\ 36 (- \frac{1}{12}) = 36 (\frac{1}{2} x) - 36 (\frac{4}{9}) \\ - 3 = 18 x - 16 \end{matrix}$

On further simplification,

$\begin{matrix} 18 x = - 3 + 16 \\ 18 x = 13 \\ x = \frac{13}{18} \end{matrix}$

Step 3. Conclusion.

The solution of the given equation is $x = \frac{13}{18}$ .

Most popular questions for Math Textbooks

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

$∠ 4 and ∠ 8$

Draw a quadrilateral and show one exterior angle at each vertex.

The drawing is a herring illusion, in which intersecting transversal make two parallel lines appear to be curves. Describe a way you can use a protector to verify that the two lines are parallel.

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 3 = 108 ° \\ m ∠ 4 = 72 ° \end{matrix}$

Find the measure of an interior angles of a regular 12-gon.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free