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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 179 (page 144)

Solve the formula for p:
$A = \frac{1}{2} p l + B$ .

Short Answer

Expert verified

The solution is $p = \frac{2 A - 2 B}{l}$ .

Step by step solution

01

Given information.

Consider the equation,

$A = \frac{1}{2} p l + B$

02

Step 2:

Add $(- B)$ on both sides,

$A - B = \frac{1}{2} p l + B - B$

we get,

$A - B = \frac{1}{2} p l$

03

Step 3:

Remove the fraction $\frac{1}{2}$ , multiply by 2 on both sides,

$2 \times (A - B) = 2 \times \frac{1}{2} p l$

we get, $2 A - 2 B = p l$

04

Step 4

Divide by l,

$\frac{2 A - 2 B}{l} = \frac{p l}{l}$

we get, $\frac{2 A - 2 B}{l} = p$

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