Question

Complete the following proof.

Given: 200 = 4m + 18 – 2m
Prove: m = 91

Statements
1. 200 = 4m + 18 – 2m
2. 200 = 2m + 18
3. 182 = 2m
4. 91 = m
5. m = 91

give the reason for each statement

1. Given
2. ?
3. ?
4. ?
5. ?

Answer 1

2. Combine like terms
3.subtraction property of equality
4.division property of equality
5. Reflexive property

Answer 2

Answer: Reasons for each statement are 2. Combining like terms

3.Subtracted 18 from both the sides

4.Divided by 2 on the both sides

5. Reflexive property

Explanation:

Given: 200 = 4m + 18 – 2m

Statements

1. 200 = 4m + 18 – 2m [given]

2. 200 = 2m + 18 [combining like terms]

3. 182 = 2m [Subtracted 18 from both the sides]

4. 91 = m [Divided by 2 on the both sides]

5. m = 91 [by using reflexive property]