Question

Write reasons for the proofs: 3(x+2)+1=8 6x+6+1=8 6x+7=8 6x=1 x=1/6

A) The steps do not form a valid proof.
B) The steps provide a correct proof.
C) The proof is incomplete.
D) The steps are not applicable.

Answer 1

The steps provide a correct proof.

Step-by-step explanation:

The given series of equations is:

1. 3(x+2)+1=8
2. 6x+6+1=8
3. 6x+7=8
4. 6x=1
5. x=1/6

We can solve the equations step by step to determine if the proof is valid.

1. By distributing, we have 3x + 6 + 1 = 8.
2. Simplifying further, we have 3x + 7 = 8.
3. Subtracting 7 from both sides, we get 3x = 1.
4. Finally, dividing both sides by 3, we find x = 1/6.

Since the proof follows a logical sequence of steps and the final value of x satisfies the original equation, the steps provide a correct proof for the equation.