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Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. ​ ​ 5x−2+x 5x+x ​ =x−4 =x−4 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

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mhanifa

Answer:

1) A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Question (rewritten)

Answer two questions about Equations A and B:  

  • A. 5x-2+x = x-4  
  • B. 5x+x = x-4  

1) How can we get Equation B from Equation A?

  • A. Add/subtract a quantity to/from only one side  
  • B. Add/subtract the same quantity to/from both sides  
  • C. Rewrite one side (or both) using the distributive property  
  • D. Rewrite one side (or both) by combining like terms  

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?  

  • A. Yes  
  • B. No

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Solution

1) As we see left sides of the equations are different but right sides are same.

To make them equal we need to remove the difference.

  • Equation A. 5x -2 +x = x -4
  • Equation B. 5x + x = x- 4

We need to add 2 to the left side of equation A to get Equation B.

The answer choice for this case is:

  • A. Add/subtract a quantity to/from only one side  

2) Since the equations are not same, they will have different solutions.

Answer choice is:

  • B. No
MrRoyal

Equivalent equations are equations that have the same value.

  • Add/subtract a quantity to/from only one side to get equation B from A
  • Both equations are not equivalent

The equations are given as:

[tex]A:\ 5x-2+x = x-4[/tex]

[tex]B: 5x+x = x-4[/tex]

(a) How to get equation (B) from (A)

By comparing equations (A) and (B), we have the following observations

  • The right-hand side of both equations are the same
  • The difference between the left-hand side of the equations is -2.

This means that, only the left-hand side of equation A will be altered to get equation B.

Hence, the solution is:

A. Add/subtract a quantity to/from only one side

(b) Are they equivalent?

No, they are not.

This is so, because only one side of equation A is altered to get equation B.

Read more about equivalent equations at:

https://brainly.com/question/10541844

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