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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q 9 (page 111)

In the following exercises, solve each linear equation. $51 + 5 (4 - q) = 56$

Short Answer

Expert verified

The answer is $q = 3$

Step by step solution

Step 1. Given information

The equation is $51 + 5 (4 - q) = 56$

Find the value of q and check

Step 2. Calculation

Simplify the equation $51 + 5 (4 - q) = 56$

$51 + 20 - 5 q = 56$

Combine like terms

$71 - 56 = 5 q 15 = 5 q$

Divide by 5 on both sides

$\frac{15}{5} = \frac{5 q}{5} 5 = q$

Step 3. Check

Substitute $q = 3$ in $51 + 5 (4 - q) = 56$

$51 + 5 (4 - (3)) = 56 51 + 5 = 56 56 = 56$

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In the following exercises, solve each linear equation.51+54-q=56

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

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In the following exercises, solve each linear equation. $51 + 5 (4 - q) = 56$