Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation Check your solution.
$4 (7 - 2 t) = 4$

The solution of our given equation would be $t = 3$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

An equation: $4 (7 - 2 t) = 4$

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

$\begin{matrix} 4 (7 - 2 t) = 4 (Given equation) \\ \frac{4 (7 - 2 t)}{4} = \frac{4}{4} (Dividing both sides by 4) \\ 7 - 2 t = 1 \\ 7 - 7 - 2 t = 1 - 7 (Subtracting 7 from both sides) \\ - 2 t = - 6 \\ \frac{- 2 t}{- 2} = \frac{- 6}{- 2} (Dividing both sides by - 2) \\ t = 3 \end{matrix}$

Let us verify our answer by substituting $t = 3$ in our original equation.

\begin{matrix} 4 (7 - 2 t) = 4 (Given equation) \\ 4 (7 - 2 (3)) = 4 (Substituting t = 3) \\ 4 (7 - 6) = 4 \\ 4 (1) = 4 \\ 4 = 4 \end{matrix}

Since both sides of equation are equal, therefore, $t = 3$ is a solution of our given equation.

Step 3. Conclusion.

The solution of our given equation would be $t = 3$ .

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Pre-algebra

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Solve the equation Check your solution.
$4 (7 - 2 t) = 4$

Step by Step Solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve the equation Check your solution. 47-2t=4

Step by Step Solution

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Solve the equation Check your solution.
$4 (7 - 2 t) = 4$