This is 10th grade math, Select the correct answer.

Find the mistake made in the steps to solve the equation below.

62 - 1=

8z -1

8x

=

=

ー2枚

+ 9

9

1,0

S

﻿﻿﻿Addition property of equality

﻿﻿﻿Addition property of equality

﻿﻿﻿Division property of equality

﻿﻿﻿Simplification

﻿﻿﻿The justification for step 3 is incorrect and should be the multiplication property of equality.

﻿﻿﻿Step 2 is incorrect and should be 8x = 8

﻿﻿C. Step 3 is incorrect and should be t

﻿﻿D. The justification for step 2 is incorrect and should be the subtraction property of equality.

To find the mistake in the solution steps, let's analyze the problem closely.

1. **Step 1:**
   The equation provided is:

   \[
   62 - 1 = 8z - 1
   \]

2. **Step 2:**
   After some manipulation, it seems the equation becomes:

   \[
   8x = -2 + 9
   \]

3. **Step 3:**
   Then, simplification occurs:

   \[
   8x = 7
   \]

From the information, it looks like you are supposed to choose from the following options:

A. The justification for step 3 is incorrect and should be the **multiplication property of equality**.

B. **Step 2 is incorrect** and should be \( 8x = 8 \).

C. **Step 3 is incorrect** and should be \( t \) (possibly incomplete here).

D. The justification for **step 2** is incorrect and should be the **subtraction property of equality**.

### Correct Answer:

The key lies in identifying where the process breaks down. Step 2 seems to apply the **addition property of equality**, but a subtraction has taken place. The proper justification for that should have been **subtraction**.

Thus, the correct answer is **D. The justification for step 2 is incorrect and should be the subtraction property of equality.**

---

Would you like more details or clarification on any of these steps? Here are 5 related questions for practice:

1. What is the addition property of equality?
2. How does the subtraction property of equality work in solving equations?
3. What role does the multiplication property of equality play in solving equations?
4. Can you provide an example where both addition and subtraction properties of equality are used?
5. How do you simplify an equation after using the property of equality?

**Tip:** Always double-check the property you are using when manipulating both sides of an equation to ensure consistency in your reasoning.

Find the mistake made in the steps to solve the equation below. 62 - 1 = 8z -1  8x = -2 + 9. Justification for step 3 is incorrect and should be the multiplication property of equality. Step 2 is incorrect and should be 8x = 8.

Analyze common mistakes in solving algebraic equations for Grade 10 math. This example involves properties of equality and step-by-step solution evaluation. Learn to identify errors in applying addition, subtraction, and multiplication properties.

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