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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. 349 (page 983)

In the following exercises, solve.
$a = \frac{b + 3}{c - 2} f o r c$

Short Answer

Expert verified

The solution is $c = \frac{2 a + b + 3}{a} .$

Step by step solution

01

Step 1. Given Information.

The given equation is $a = \frac{b + 3}{c - 2} f o r c .$

02

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $c - 2$

$a 脳 (c - 2) = \frac{b + 3}{c - 2} 脳 (c - 2) a c - 2 a = b + 3 a c = 2 a + b + 3$

Now, divide both sides by ato isolate c

$a c = 2 a + b + 3 \frac{a c}{a} = \frac{2 a + b + 3}{a} c = \frac{2 a + b + 3}{a}$

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