Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Justify each step.
$\frac{z + 7}{3} = - 11$
$z + 7 = - 33$
$z = - 40$

$\frac{z + 7}{3} = - 11$ Given

$z + 7 = - 33$ Multiplication property of equality

$z = - 40$ Subtraction property of equality

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the multiplication property of equality.

If $a = b$ , then $c a = c b$ .

Step 2. Description of step.

Multiply each side of $\frac{z + 7}{3} = - 11$ by 3 and simplify.

$\begin{matrix} 3 \times \frac{z + 7}{3} = 3 \times (- 11) \\ z + 7 = - 33 \end{matrix}$

Step 3. Apply the subtraction property of equality.

If $a = b$ and $c = d$ , then $a - c = b - d$ .

Step 4. Description of step.

Subtract 7 from each side of the equation obtained in step 2 to find the value of z.

$\begin{matrix} z + 7 - 7 = - 33 - 7 \\ z = - 40 \end{matrix}$

Therefore, the value of z is $- 40$ .

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Geometry

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Short Answer

Justify each step.
$\frac{z + 7}{3} = - 11$
$z + 7 = - 33$
$z = - 40$

Step by Step Solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply the subtraction property of equality.

Step 4. Description of step.

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Short Answer

Justify each step.z+73=−11 z+7=−33 z=−40

Step by Step Solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply the subtraction property of equality.

Step 4. Description of step.

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Justify each step.
$\frac{z + 7}{3} = - 11$
$z + 7 = - 33$
$z = - 40$