Question

PLS HELP!!!!

Drag a statement or reason to each box to complete this proof.




If x−24=2, then x=10.


Statement Reason

1. x−24=2 Given

2. 4(x−24)=4∙2 ?

3. ? Simplifying

4. x−2+2=8+2

5. ? ?

______________________________________________________________


simplifying multiplication property of equality


addition property of equality x=10 x-2=8

Answer 1

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

Explanation:

* Lets explain how to solve the problem

- The equation is
`(x-2)/(4)=2`

- 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.
`(x-2)/(4)=2` ⇒ Given

2.
`4((x-2)/(4))=4*2` ⇒ 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