Question

What is the reason for each step in the solution of the equation?

Match the reason with the correct step in the equation


Division Property of

Equality


Given



Addition Property of

Equality


19 = 5x – 1


20 = 5x


19 = 5x – 1

Answer 1

3x - 2 = 4 is Given

3x = 6 is addition property of equality

x = 2 is division property of equality

Answer 2

Given

Addition Property of Equality

Division Property of Equality

Explanation:

There goes in the order, the correct steps of this equation. The objective is to find the quantity of x, isolating it in one side. As it is an equation/equality any addition, multiplication, division on the left side is valid automatically on the right side.

`19 = 5x -1`

1.Given

`19+1=5x-1+1 \Rightarrow 20=5x`

2. Addition Property of Equality

`(5x)/(5)=(20)/(5)  \Rightarrow x=4`

3. Division Property of Equality

`S=\{4\}`