Question

Name the property of equality or congruence that justifies going from the first statement to the second statement.4x+5=174x=12

Answer 1

Given:

`4x+5=17`
`4x+12`

Required:

We need to check whether equality or congruence holds from the first statement to the second statement.

Step-by-step explanation:

Consider the first statement.

`4x+5=17`

This can be written as follows.

`4x+5=12+5`

Use the addition property.

`If\text{ a=b then }a+c=b+c.`

`If\text{ 4x=12 then 4x+5=12+5.}`

So this statement satisfies the addition property.

We know that the addition property is equality.

Final answer:

The name of the property of equality is the addition property.