boemaggie494
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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.
Subtraction property of equality
61 - 7 - 12 = 12 + 7
Simplification
61 - 7 + 7 = 12 +7
Addition property of equality
Multiplication property of equality
1 = 114 = =
41-7 = -20 +12
1. Given
43 - 7 + 20 = -21 + 12 + 23
2. Addition property of equality
6.3 - 7 = 12
3.
4.
63 = 19
5. Simplification
6. Division property of equality
All rights reserved

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 class=

Sagot :

akposevictor

Answer/Step-by-step explanation:

4x - 7 = -2x + 12 (Given)

Add 2x to both sides

4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)

6x - 7 = 12 (Simplication)

Add 7 to both sides

6x - 7 + 7 = 12 + 7 (Addition property of equality)

6x = 19 (Simplification)

Divide both sides by 6

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

[tex] x = \frac{19}{6} [/tex]

The correct justification, provides the right reasons for the given

mathematical operation.

Responses:

3. Simplification

6·x - 7 + 7 = 12 + 7  [tex]{}[/tex]             4. Addition property of equality

How are the correct justifications found?

The two column solution is presented as follows;

Step [tex]{}[/tex]                                               Justification

4·x - 7 = -2·x + 12  [tex]{}[/tex]                       1. Gives

4·x - 7 + 2·x = -2·x + 12 + 2·x [tex]{}[/tex]     2. Addition property of equality

6·x - 7 = 12  [tex]{}[/tex]                                 3. Simplification

6·x - 7 + 7 = 12 + 7 [tex]{}[/tex]                      4. Addition property of equality

6·x = 19 [tex]{}[/tex]                                       5. Simplification

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

Learn more about the properties of equality here:

https://brainly.com/question/4207575

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.