Answer two questions about equations a and b

a) x/4 +1 = -3
b) x+ 4 = -12

PART 1-

How can we get equation B from equation A?
Choose one answer:
A) rewrite one side (or both) using the distributive property

B) Rewrite one side (or both) by combing like terms

C) Multiply/divide only one side by a non-zero constant.

D) Multiply/divide both sides by the same non-zero constant.

PART 2:
-based on the previous answer, are the equations equivalent? in other words, do they have the same solution?

Choose One Answer:

A) Yes
B) No

Respuesta :

1. D

2. Yes

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We get equation B from equation A by Multiplying /dividing both sides by the same non-zero constant i.e., 4.

What is a non-zero constant?

A non-zero constant polynomial is written as: p(x) = c, where c is a non-zero real number. This means that for all possible values of x, p(x) = c, i.e. it is never 0. Thus, a non-zero constant polynomial does not have any zeroes.

Given

[tex]\frac{x}{4}+1 =-3[/tex]

Multiply/divide both sides by the same non-zero constant i.e., 4.

⇒ [tex]4\times(\frac{x}{4}+1) =4\times-3[/tex]

⇒ x + 4 = -12

Hence, We get equation B from equation A by Multiplying /dividing both sides by the same non-zero constant i.e., 4.

Find out more information about non-zero constant here

https://brainly.com/question/14686792

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