Answer:
see the explanation
Step-by-step explanation:
An example of
Part 1) subtraction property of equality
we know that
The <u><em>subtraction property of equality</em></u> states that: if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same'
<u><em>Example</em></u> 1
we have
----> equation A
subtract 5 both sides
![x+2y-5=5-5](https://tex.z-dn.net/?f=x%2B2y-5%3D5-5)
----> equation B
so
equation A=equation B -----> by subtraction property of equality
<u><em>Example</em></u> 2
we have
![25=25](https://tex.z-dn.net/?f=25%3D25)
subtract 5 both sides
![25-5=25-5](https://tex.z-dn.net/?f=25-5%3D25-5)
---> both sides remain equal by subtraction property of equality
Part 2) multiplication property of equality
we know that
The <u><em>Multiplication Property of Equality</em></u> states that: if you multiply both sides of an equation by the same number, the sides remain equal
<u><em>Example</em></u> 1
----> equation A
Multiply by 5 both sides
----> equation B
so
equation A=equation B -----> by multiplication property of equality
<u><em>Example</em></u> 2
we have
Multiply by 4 both sides
![4(30)=4(30)](https://tex.z-dn.net/?f=4%2830%29%3D4%2830%29)
---> both sides remain equal by multiplication property of equality
Part 3) division property of equality
we know that
The <u><em>Division Property of Equality</em></u> states that: if you divide both sides of an equation by the same nonzero number, the sides remain equal
<u><em>Example</em></u> 1
----> equation A
Divide by 2 both sides
----> equation B
so
equation A=equation B -----> by division property of equality
<u><em>Example</em></u> 2
we have
Divide by 3 both sides
![30/3=30/3](https://tex.z-dn.net/?f=30%2F3%3D30%2F3)
---> both sides remain equal by division property of equality