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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 374 (page 996)

In the following exercises, solve.
$\frac{b}{- 7} = \frac{- 30}{42}$

Short Answer

Expert verified

The simplification of $\frac{b}{- 7} = \frac{- 30}{42}$ is $b = 6$

Step by step solution

01

Step 1. Given Information

An expression:
$\frac{b}{- 7} = \frac{- 30}{42}$

02

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $- 7$

$\frac{b}{- 7} 脳 - 7 = \frac{- 30}{42} 脳 - 7$

03

Step 3. Simplify the expression

By simplification,

$b = \frac{- 30 脳 - 7}{42} = 6$

04

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$\frac{b}{- 7} = \frac{- 30}{42} \frac{6}{- 7} = \frac{- 30}{42} - \frac{6}{7} = - \frac{6}{7}$

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