Complete the two-column proof.
Given: x/5 + 9 = 11
Prove: x = 10
x/5 + 9 = 11 a.__________
x/5 = 2 b.__________
x = 10 c.__________
A) a. Given
b. Subtraction Property of Equality
c. Division Property of Equality
B) a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
C) a. Given
b. Addition Property of Equality
c. Multiplication Property of Equality
D) a. Given
b. Addition Property of Equality
c. Division Property of Equality
Thank you sooooooooo much! :D
A) a. Given
b. Subtraction Property of Equality
c. Division Property of Equality
The correct answer is D)
a. Given
b. Addition Property of Equality
c. Division Property of Equality
Explanation:
In order to complete the two-column proof, we need to provide a series of statements that logically follow from the given statement in order to prove the desired conclusion.
Given: x/5 + 9 = 11
Statement a. "Given": This is the initial given statement that serves as the basis for our proof. It states that x divided by 5, plus 9, is equal to 11.
Statement b. "Addition Property of Equality": This property allows us to subtract the same amount from both sides of the equation while maintaining equality. Thus, we subtract 9 from both sides of the equation:
x/5 + 9 - 9 = 11 - 9
x/5 = 2
Statement c. "Division Property of Equality": This property allows us to divide both sides of the equation by the same non-zero number without changing the equality. Thus, we divide both sides of the equation by 1/5, or multiply both sides by 5:
(x/5) * 5 = 2 * 5
x = 10
Therefore, by completing the two-column proof, we have proven that x equals 10.
1st step is given
2nd step is to subtract 8 from both sides
3rd step is to multiply both sides by 5
So, it looks like B to me