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

How is solving $3 x - 7 = - 5$ different from solving $3 x + 7 = - 5$ ?

Solving equation $3 x - 7 = - 5$ requires addition of 7 to both sides of the equation first and solving $3 x + 7 = - 5$ requires subtraction of 7 from both sides of the equation first.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 – Solve the first equation

Solve the equation $3 x - 7 = - 5$ .

$\begin{array}{l} 3 x - 7 = - 5 \\ 3 x = - 5 + 7 \\ 3 x = 2 \\ x = \frac{2}{3} \end{array}$

The solution of the equation is $x = \frac{2}{3}$ .

Step 2 – Solve the second equation

Write the second equation and solve it.

$\begin{array}{l} 3 x + 7 = - 5 \\ 3 x = - 5 - 7 \\ 3 x = - 12 \\ x = \frac{- 12}{3} \\ x = - 4 \end{array}$

Therefore, the solution of the equation is $x = - 4$ .

Step 3 – Observation from equations

To solve the $3 x - 7 = - 5$ , one needs to add 7 to both sides of the equation first and for solving $3 x + 7 = - 5$ , one needs to subtract 7 from both sides of the equation.

Thus, solving equation $3 x - 7 = - 5$ requires addition of 7 to both sides of the equation first and solving $3 x + 7 = - 5$ requires subtraction of 7 from both sides of the equation first.

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Pre-algebra

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Short Answer

How is solving $3 x - 7 = - 5$ different from solving $3 x + 7 = - 5$ ?

Step by Step Solution

Step 1 – Solve the first equation

Step 2 – Solve the second equation

Step 3 – Observation from equations

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Pre-algebra

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Short Answer

How is solving 3x-7=-5different from solving 3x+7=-5?

Step by Step Solution

Step 1 – Solve the first equation

Step 2 – Solve the second equation

Step 3 – Observation from equations

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How is solving $3 x - 7 = - 5$ different from solving $3 x + 7 = - 5$ ?