Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.

Fill in the missing steps and justifications used to solve the given equation.

- Simplification
- Addition property of equality
- Subtraction property of equality
- Multiplication property of equality

Given:
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

1. Combine like terms:
[tex]\[ 6x - 7 = 12 \][/tex]

2. Addition property of equality:
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]

3. Simplification:
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality:
[tex]\[ x = \frac{19}{6} \][/tex]

Sagot :

GinnyAnswer
Sure, let's fill in the steps and justifications used to solve the given equation step-by-step:

1. Given
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

2. Simplification
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]
Combine like terms:
[tex]\[ 6x - 7 = 12 \][/tex]

3. Addition property of equality
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]
Simplifies to:
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality
Divide both sides by 6:
[tex]\[ x = \frac{19}{6} \][/tex]

5. Simplification
The final value of [tex]\( x \)[/tex]:
[tex]\[ x = \frac{19}{6} \][/tex]

So, the completed solution looks like this:

1. Given
[tex]\[ 4x - 7 + 2x = -2x + 12 + 2x \][/tex]

2. Simplification
[tex]\[ 6x - 7 = 12 \][/tex]

3. Addition property of equality
[tex]\[ 6x - 7 + 7 = 12 + 7 \][/tex]
[tex]\[ 6x = 19 \][/tex]

4. Division property of equality
[tex]\[ x = \frac{19}{6} \][/tex]

5. Simplification
[tex]\[ x = \frac{19}{6} \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.