# Name the property of equality that justifies: if x+3=5 then x=2 . a. multiplication property of equality b. division property

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## Answers

Subtraction property of equality

you are subtracting 3 from both sides so you can find x..

1) a=b, then that means b=a

2) a=b, then b will =c, which means a can =C too

3) X = X. with real numbers, irrational numbers, rational numbers

4) Property of equality and congruence

6) 6+5 = 5+6

7) 8(5+6) = 8(5) + 8(6)

9) default function?

10) associative property

C. Substitution Property of Equality

Step-by-step explanation:

The substitution property of equality says that if a=b, then 'b' can be substituted in the place of 'a' or 'a' can be substituted in the place of 'b'.

For example : If a= 7 and b=a-2

Then we substitute a=7 , we get b=7-2=5

Similarly, we are given that If x=3 and y=x+5, then y=8

Here the value of x is substituted as 3, then y=3+5=8

Hence, the property of equality that justifies given statement : Substitution Property of Equality

A) In this question two angles are given equal and in next step both sides are multiplied by 5 and the result of both sides is equal to each other. The property used is

"When equal are multiplied by equL number then the result is also equal" the equality property is of multiplication.

B) In this question [tex]x+3=5[/tex] is given

And then [tex]x=2[/tex]

Here number 3 is subtaracted from both the sides to make [tex]x[/tex] equal to 2.

The property of equality used is " If equal are subtracted from equal the result will be equal"

Here the equality property of subtraction is uaed.

A) In this question two angles are given equal and in next step both sides are multiplied by 5 and the result of both sides is equal to each other. The property used is

"When equal are multiplied by equL number then the result is also equal" the equality property is of multiplication.

B) In this question [tex]x+3=5[/tex] is given

And then [tex]x=2[/tex]

Here number 3 is subtaracted from both the sides to make [tex]x[/tex] equal to 2.

The property of equality used is " If equal are subtracted from equal the result will be equal"

Here the equality property of subtraction is uaed.

Symmetric Property

Step-by-step explanation:

The Symmetric Property states that if something (a) is equal to another (b), then the vice versa is the same, b would be equal to a.

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The answer would be B

The property of equality that justifies this statement: if l=m , then m=l is:

b. symmetric property

Step-by-step explanation:We know that the symmetric property of relations states that if a is related to b by any relation R i.e. a R b

then b is also related to a by the same relation i.e. b R a

Hence, we have a relation as a equality relation,

i.e. a R b means a=b

Hence, symmetric property states that

b R a that means b=a

Hence, the answer is:

Option: b

A. Addition Property of Equality

You are adding 3 and 5 in order to get y = 8

B. the symmetric property