10x - 12 = 68
A Transitive Property
B Multiplication Property
C Addition Property
D Simplify
E Angle Addition Postulate
F Substitution
GSubtraction Property
H Divison Property
I Segment Addition Postulate
B Multiplication Property
To solve the equation 10x - 12 = 68, we can follow these steps:
Step 1: Addition Property
Add 12 to both sides of the equation:
10x - 12 + 12 = 68 + 12
This simplifies to:
10x = 80
Step 2: Division Property
Divide both sides of the equation by 10:
10x / 10 = 80 / 10
This simplifies to:
x = 8
Therefore, the correct steps to solve the equation are:
C Addition Property
H Division Property
To solve the equation 10x - 12 = 68, you need to isolate the variable x.
First, you want to get rid of the constant term -12 on the left side of the equation. To do that, you can use the Addition Property, which states that you can add the same number to both sides of the equation without changing the equality.
Therefore, you can add 12 to both sides of the equation:
10x - 12 + 12 = 68 + 12
This simplifies to:
10x = 80
Next, you can apply the Division Property, which states that you can divide both sides of the equation by the same non-zero number without changing the equality.
Therefore, you can divide both sides of the equation by 10:
10x/10 = 80/10
This simplifies to:
x = 8
So, the solution to the equation is x = 8.
In this case, the appropriate properties used were the Addition Property (to eliminate the -12 term) and the Division Property (to isolate the variable x). Therefore, the correct answer is C. Addition Property and H. Division Property.