Chapter 2: Q4 (page 41)

Justify each step.
$15 y + 7 = 12 - 20 y$
$35 y + 7 = 12$
$35 y = 5$
$y = \frac{1}{7}$

Short Answer

Expert verified

$15 y + 7 = 12 - 20 y$ Given

$35 y + 7 = 12$ Addition property of equality

$35 y = 5$ Subtraction property of equality

$y = \frac{1}{7}$ Division property of equality

Step by step solution

Step 1. Apply additional property of equality.

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

Step 2. Description of step.

Add $20 y$ on each side of $15 y + 7 = 12 - 20 y$ and simplify.

$15 y + 7 + 20 y = 12 - 20 y + 20 y$

$35 y + 7 = 12$

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 y.

$\begin{matrix} 35 y + 7 - 7 = 12 - 7 \\ 35 y = 5 \end{matrix}$

Step 5. Apply division property of equality.

If $a = b$ and $c \neq 0$ , then $\frac{a}{c} = \frac{b}{c}$ .

Step 6. Description of step.

Divide each side of the equation obtained in step 4 by 35 to find the value of y.

$\begin{matrix} \frac{35 y}{35} = \frac{5}{35} \\ y = \frac{1}{7} \end{matrix}$

Therefore, the value of y is $\frac{1}{7}$ .

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Justify each step.
$15 y + 7 = 12 - 20 y$
$35 y + 7 = 12$
$35 y = 5$
$y = \frac{1}{7}$

Short Answer

Step by step solution

Step 1. Apply additional property of equality.

Step 2. Description of step.

Step 3. Apply the subtraction property of equality.

Step 4. Description of step.

Step 5. Apply division property of equality.

Step 6. Description of step.

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Justify each step.15y+7=12−20y35y+7=12 35y=5 y=17

Short Answer

Step by step solution

Step 1. Apply additional property of equality.

Step 2. Description of step.

Step 3. Apply the subtraction property of equality.

Step 4. Description of step.

Step 5. Apply division property of equality.

Step 6. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Justify each step.
$15 y + 7 = 12 - 20 y$
$35 y + 7 = 12$
$35 y = 5$
$y = \frac{1}{7}$