state the property that justifies the statement: if 3x+4=10, then 3x=6
a. Subtraction Property of Equality
b. Addition Property of Equality
c. Division Property of Equality
d. Multiplication Property of Equality

Answer :

Subtraction property of equality 

This question is based on the concept of equations. Therefore, the correct option is A,  Subtraction Property of Equality.

Given:

Equations : 3x + 4=10 and  3x = 6.

We have to choose appropriate property that justifies the statement: if 3x+4=10, then 3x=6.

According to the question,

By using the definition of  subtraction property of equality,

The Subtraction Property of Equality states that, when both sides of an equation have the  same number subtracted from them, then resulting expressions are equivalent.

It is given that,

3x + 4=10

By substracting property of equality, substracting both sides 4.

We get,

3x + 4 - 4 = 10 - 4

Therefore, 3x = 6

Hence, the correct option is A, subtraction property of equality.

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