Question

Name the property that justifies the statement: If 3x = 6 then x = 2.

Answer 1

The property is  Multiplication Property of Equality.

Answer 2

Multiplication Property of Equality.

Explanation:

Multiplication Property of Equality: If we multiply both side of an equation by the same non-zero value,the resulting statement is still an equation and it has the same solution set as the original equation.

in the following given question we have the equation 3 x=6; we could seee that in both the sides we have 3 as a common factor. so we'll multiply both sides by
`(1)/(3)` to obtain x=2.

hence we get the desired result corresponding to the equation 3x=6.