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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q 2.22 (page 108)

Solve $\frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m - 7)$

Short Answer

Expert verified

The answer is $m = - 1$

Step by step solution

01

Step 1. Given information

The equation is $\frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m - 7)$ .

Find value of m.

02

Step 2. Calculation

Simplify the equation $\frac{1}{2} (m 鈭� 3) = \frac{1}{4} (m - 7)$

LCD of 2 and 4 is 4.

So, $4 脳 \frac{1}{2} (m 鈭� 3) = 4 脳 \frac{1}{4} (m - 7) 2 (m 鈭� 3) = (m - 7)$

so, role="math" localid="1644310435009" $2 m - 6 = m - 7$

Combine like terms,

$m = - 1$

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