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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q 2.21 (page 108)

Solve $\frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$

Short Answer

Expert verified

The answer is $n = 2$

Step by step solution

Step 1. Given information

The equation is $\frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$ .

Find value of n.

Step 2. Calculation

Simplify the equation $\frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$

LCD of 5,4 is 20.

so, $20 (\frac{1}{5} (n + 3)) = 20 (\frac{1}{4} (n + 2))$

Simplify the equation

$4 (n + 3) = 5 (n + 2) 4 n + 12 = 5 n + 10$

combine like terms

$12 - 10 = 5 n - 4 n 2 = n$

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Solve15n+3=14n+2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Solve $\frac{1}{5} (n + 3) = \frac{1}{4} (n + 2)$