Answer:
2. simplifying multiplication property of equality
3. x - 2 = 8
5. x = 10 , addition property of equality
Step-by-step explanation:
* Lets explain how to solve the problem
- The equation is [tex]\frac{x-2}{4}=2[/tex]
- The value of x is 10
- We want to a statement reason to each step to complete the proof
* Lets write each step with statement reason
1. [tex]\frac{x-2}{4}=2[/tex] ⇒ Given
2. [tex]4(\frac{x-2}{4})=4*2[/tex] ⇒ simplifying multiplication property of equality
3. x - 2 = 8 ⇒ Simplifying
4. x - 2 + 2 = 8 + 2
5. x = 10 ⇒ addition property of equality
- In step 2 we multiply both sides by 4 to cancel the denominator of
the left hand side (simplifying multiplication property of equality)
- Then we simplify the two sides to get (x - 2 = 8)
- Then we add two to both sides to cancel -2 in the left hand side
- Then after adding we find (x = 10) , (addition property of equality)
* The answer is:
2. simplifying multiplication property of equality
3. x - 2 = 8
5. x = 10 , addition property of equality
