Question

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36

Given ⇒ 3(x − 4) + 5x = 9x − 36
Step 1 ⇒ 3x − 12 + 5x = 9x − 36
Step 2 ⇒ 3x + 5x − 12 = 9x − 36
Step 3 ⇒ 8x − 12 = 9x − 36
Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36
Step 5 ⇒ 0 − 12 = x − 36
Step 6 ⇒ −12 = x − 36
Step 7 ⇒ −12 + 36 = x − 36 + 36
Step 8 ⇒ 24 = x + 0
Step 9 ⇒ 24 = x

Which property yields Step 6?
A) Additive Inverse Property
B) Additive Identity Property
C) Addition Property of Equality
D) Commutative Property of Addition

Answer 1

Here your answer goes

Question :-

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36

Given ⇒ 3(x − 4) + 5x = 9x − 36

Step 1 ⇒ 3x − 12 + 5x = 9x − 36

Step 2 ⇒ 3x + 5x − 12 = 9x − 36

Step 3 ⇒ 8x − 12 = 9x − 36

Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36

Step 5 ⇒ 0 − 12 = x − 36

Step 6 ⇒ −12 = x − 36

Step 7 ⇒ −12 + 36 = x − 36 + 36

Step 8 ⇒ 24 = x + 0

Step 9 ⇒ 24 = x

Which property yields Step 6?

A) Additive Inverse Property  

B) Additive Identity Property  

C) Addition Property of Equality  

D) Commutative Property of Addition

Answer :-

Option :- C

Addition Property of Equality

Justification :-

Adding 36 of both side of the equation is justify by the addition property of Equality

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Answer 2

Heya !!!

Answer is as follows :-

$option \: c$

Why ?

On adding we get 36.

Hope this helps :)

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