Question

Explain which property of equality used to arrive at the conclusion for the following if x=2 then x+20=22

Answer 1

Additive property of equality

Explanation:

We are given the following expression(s) and we are to determine and explain the property of equality used to arrive to conclude the following:

if x=2 then x+20=22

Its the additive property of equality which is used here to conclude that x + 20 = 22 if x = 2.

According to this additive property of equality, the equality is true if same amount is added to both sides of an equation.

Answer 2

For this case we have that by definition, the subtraction property of equality establishes that having an equality, any number that is subtracted from one side of it, must be subtracted from the other side.

We have:

`x = 2`

So, for it to be fulfilled:

`x + 20 = 22`

We must subtract "20" on both sides of the equation:

`x + 20-20 = 22-20\\x = 2`

Answer:

subtraction property of equality