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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q 2.20 (page 107)

Solve $- 1 = \frac{1}{2} u + \frac{1}{4} u - \frac{2}{3} u$

Short Answer

Expert verified

The answer is $u = - 12$

Step by step solution

Step 1. Given information

The equation is $- 1 = \frac{1}{2} u + \frac{1}{4} u - \frac{2}{3} u$

Step 2. Calculation

Find LCD of denominators of equation $- 1 = \frac{1}{2} u + \frac{1}{4} u - \frac{2}{3} u$

LCD of 2, 4, 3 is 12

So, $12 (- 1) = 12 (\frac{1}{2} u + \frac{1}{4} u - \frac{2}{3} u)$

$- 12 = 6 u + 3 u - 8 u$

Combine like terms

$- 12 = u$

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Solve-1=12u+14u-23u

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Solve $- 1 = \frac{1}{2} u + \frac{1}{4} u - \frac{2}{3} u$