Chapter 2: Q3 (page 41)

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

Short Answer

Expert verified

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

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

$z = - 40$ Subtraction property of equality

Step by step solution

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

Short Answer

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.z+73=−11z+7=−33 z=−40

Short Answer

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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