Question

I really need help plz

1.

Which property of equality justifies the following statement?
"If t + 10 = 5 then t = -5."

A. Addition Property of Equality

B. Multiplication Property of Equality

C. Subtraction Property of Equality

D. Transitive Property of Equality


2.

Which property justifies the following statement:
If a = b then ?

A. Addition Property of Equality

B. Multiplication Property of Equality

C. Division Property of Equality

D. Reflexive Property


3.

Which property of equality justifies the following statement?
"If 5x = 60, then x = 12.

A. Symmetric Property

B. Transitive Property of Equality

C. Division Property of Equality

D. Algebra Properties

Answer 1

1. Subtraction Property Of Equality

2. Reflexive Property

3. Division Property of Equality

Explanation:

1. t + 10 = 5, to solve it, you need to eliminate the number that is next to your variable, the only way to do it is by subtracting the number using the property of subtraction, so you have this:

t+10-10=5-10, giving you that t=-5

2. There is nothing to solve here, it is just a statement. a=b. Any number is equal to itself, this is the reflexive property

3. 5x= 60, to solve it, you need to eliminate the number that is next to your variable, the only way to do it is by using the using the property of division, so you have this:

`(5x)/(5)=(60)/(5)`

giving you that x=12