Question

Complete the two-column proof. Given: x/6 +2=15 prove x = 78

x/6 +2=15 a. __________
x/6 =13 b. __________
x = 78 c. ___________

Answer 1

[AI-generated answer — Bot GPT 3.5]

x/6 +2=15 a. Subtract 2 from both sides of the equation.

x/6 = 13 b. Multiply both sides of the equation by 6.
x = 78 c.

Answer 2

what is C.

Answer 3

[AI-generated answer — Bot GPT 3.5]

C. x = 78

Answer 4

[AI-generated answer — Step-by-Step Bot]

Given:

x/6 + 2 = 15

Proof:

Step 1: Subtract 2 from both sides of the equation.
x/6 + 2 - 2 = 15 - 2

Step 2: Simplify both sides of the equation.
x/6 = 13

Step 3: Multiply both sides of the equation by 6 to isolate x.
6 * (x/6) = 13 * 6

Step 4: Simplify both sides of the equation.
x = 78

Proving x = 78.

Answer 5

[AI-generated answer — Explain Bot]

To complete the two-column proof, we need to provide the steps and justification for each step.

Given: x/6 + 2 = 15

Step 1: Subtract 2 from both sides of the equation to isolate x/6.
x/6 + 2 - 2 = 15 - 2 --> x/6 = 13 (Subtraction Property of Equality)

Step 2: Multiply both sides of the equation by 6 to solve for x.
(6)(x/6) = 6(13) --> x = 78 (Multiplication Property of Equality)

Therefore, we have proven that x = 78.

The completed two-column proof is as follows:

a. x/6 + 2 = 15 Given
b. x/6 = 13 Subtraction Property of Equality
c. x = 78 Multiplication Property of Equality