Which properties of equality justify steps c and f

A. Subtraction property of equality; multiplication property of equality

B. Multiplication property of equality; Division property of equality

C. Addition property of equality; Subtraction property of equality

D. Addition property of equality; Division property of equality

Which properties of equality justify steps c and f A Subtraction property of equality multiplication property of equality B Multiplication property of equality class=

Respuesta :

The answer is D, because in step c. you add [tex] 11 [/tex] to both sides to get rid of the [tex] -11 [/tex] on the right hand, so you use the fact that you can add the same number to both sides of an equation.


Likewise, in step f. you divided both sides by [tex] -4 [/tex] to get rid of the [tex] x [/tex] coefficient, so you use the fact that you can divide both sides of an equation by the same number.


Answer:

Option C and B

Step-by-step explanation:

In the question step C is 23 + 11 = -11 +(-4x) + 11

which is in the form of a + b = c + a

In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.

property which signifies this step is

Addition property of equality :

In step 'f' expression is

[tex]\frac{34}{-4}=\frac{-4x}{-4}[/tex]

In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.

In this step division property of equality has been applied.

Therefore Option C and B are the correct options.