Given:
1. 60 is the sum of 15 and Mabel's age.
2. Given equation is
[tex]-8(x+1)=-40[/tex]
To find:
1. The equation for the given situation.
2. Complete the two column proof.
Solution:
1.
60 is the sum of 15 and Mabel's age.
Let m be the Mabel's age. Then,
[tex]15+m=60[/tex]
Therefore, the required equation for the given situation is [tex]15+m=60[/tex].
2.
The complete two column proof is:
Steps Reasons
[tex]-8(x+1)=-40[/tex] Given equation
[tex]\dfrac{-8(x+1)}{-8}=\dfrac{-40}{-8}[/tex] Division Property of Equality
[tex]x+1=5[/tex] Simplifying
[tex]x+1-1=5-1[/tex] Subtraction Property of Equality
[tex]x=4[/tex] Simplifying
