Question

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

Answer 1

The answer is D, because in step c. you add
`11` to both sides to get rid of the
`-11` 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
`-4` to get rid of the
`x` coefficient, so you use the fact that you can divide both sides of an equation by the same number.

Answer 2

Option C and B

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

`(34)/(-4)=(-4x)/(-4)`

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.