Complete two column proof.
Given: x/6+2=15
Prove: x=78
x/6+2=15 A:______
x/6=13 B:______
x=78 C:_______
A:a. Given
b. Subtraction Property of Equality
c. Division Property of Equality
B:a. Given
b. Addition Property of Equality
c. Multiplication Property of Equality
C:a. Given
b. Addition Property of Equality
c. Division Property of Equality
D:a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
A: a. Given (x/6+2=15)
B: b. Subtraction Property of Equality (Subtracting 2 from both sides of the equation)
C: c. Division Property of Equality (Dividing both sides of the equation by 6)
So, x/6+2=15 becomes x/6 = 13
A: a. Given (x/6=13)
B: b. Addition Property of Equality (Adding 0 to both sides of the equation)
C: c. Multiplication Property of Equality (Multiplying both sides of the equation by 6)
So, x/6 = 13 becomes x = 78
Therefore, x=78 is proven.
Given: x/6 + 2 = 15
Proof:
A:
a. Given: x/6 + 2 = 15
b. Subtraction Property of Equality: Subtract 2 from both sides of the equation.
c. Division Property of Equality: Divide both sides of the equation by 6.
So, x/6 = 13.
B:
a. Given: x/6 = 13
b. Addition Property of Equality: Add -2 to both sides of the equation.
c. Multiplication Property of Equality: Multiply both sides of the equation by 6.
Therefore, x = 78.
Thus, x = 78. (Proof complete)