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
(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?
(Choice A) A Yes
(Choice B) B No

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Anshuyadav Anshuyadav · Answer 1 · 2022-12-28T01:58:23-05:00

The given equation A and B are not equivalent.

The term equation in math refers the mathematical statement that is made up of two expressions connected by an equal sign.

Here we have given that the tow equations are

A) 5x -2 + x = x - 4

B) 5x + x = x - 4

And we need to find if they are equivalent or not.

While we looking into the given question, we have given the following equations,

A) 5x -2 + x = x - 4

B) 5x + x = x - 4

In order to find if they are equivalent or not, we have to simplify each of then then we get,

=> A) 6x - 2 = x - 4

=> A) 6x - 2 - x + 4

=> A = 5x + 2

Now, we have to do the same to simplify the equation (B), then we get

=> B) 6x = x - 4

=> B = 6x - x + 4

=> B = 5x + 4

Now, we compare the two solved equation,

=> A = B

=> 5x + 2 = 5x + 4

Here the variable part is equal but the constant value is not same.

Therefore, we have identified the the two equation are not equivalent.

To know more about equation here.

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