Question

What properties of equality are used in solving 3 + 2x = 4? Check all of the boxes that apply.

the addition property of equality
the transitive property of equality
the multiplication property of equality
the substitution property of equality

Answer 1

Answer: addition and multiplication

Explanation:

You’re going to subtract 3 from both sides (addition property of equality) and then divide both sides by 2 (multiplication property of equality).

Answer 2

The properties that will be used in solving the given equation is:

• The addition property of equality.

• The multiplication property of equality.

Explanation:

We are given a equation in terms of variable x as follows:

`3+2x=4`

Now, in order to solve the given equation we need to follow the steps as:

1)

Adding (-3) on both the side of the equation.

This property is known as:

The addition property of equality.

i.e. the equation becomes:

`(-3)+3+2x=(-3)+4\\\\-3+3+2x=-3+4\\\\2x=1`

2)

Now, we multiply both side by (1/2)

This property is known as:

The multiplication property of equality.

i.e. the equation becomes:

`2* (1)/(2)x=1* (1)/(2)\\\\x=(1)/(2)`