Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality

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Answer:

Correct option is:

A.Multiplication Property of Equality

Step-by-step explanation:

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).

Here, we are given a equality:

x= -2

Now, on multiplying both sides by 5, the equality will be preserved

i.e. 5x= -2×5

i.e. 5x= -10

Hence, Correct option is:

A.Multiplication Property of Equality

The property of equality that justifies the given statement is the Multiplication Property of Equality

The correct option is A.Multiplication Property of Equality

From the question,  we have that

If x=−2, then 5x=−10

The property of equality that justifies this statement is the Multiplication Property of Equality.

This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.

That is,

[tex]5 \times x = -2 \times 5[/tex], yields

5x=−10.

Hence, the property of equality that justifies this statement is the Multiplication Property of Equality

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