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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. 360 (page 983)

In the following exercises, solve.
$c = \frac{2}{a} + \frac{b}{5} f o r a$

Short Answer

Expert verified

The solution is $a = \frac{10}{5 c - b} .$

Step by step solution

01

Step 1. Given Information.

The given equation is $c = \frac{2}{a} + \frac{b}{5} f o r a .$

02

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $5 a$

$(5 a) 脳 c = (5 a) 脳 (\frac{2}{a} + \frac{b}{5}) 5 a c = (5 a) 脳 (\frac{10 + a b}{5 a}) 5 a c = 10 + a b 5 a c - a b = 10 a (5 c - b) = 10$

Now, divide both sides by $5 c - b$ to isolate a

role="math" localid="1647858965265" $\frac{a (5 c - b)}{5 c - b} = \frac{10}{5 c - b} a = \frac{10}{5 c - b}$

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