Question

Solve the following equation. Then determine if the equation is an identity or a contradiction.

2(3n + 3) - 9 = 6n

Answer 1

Let's solve the equation step by step:

1. Start with the equation: \(2(3n+3)-9=6n\).

2. First, distribute the 2 on the left side of the equation:
\(6n + 6 - 9 = 6n\).

3. Next, simplify the equation by combining like terms. The 6n on both sides can be canceled out:
\(6 - 9 = 0\).

4. Simplify further:
\(-3 = 0\).

Now, let's analyze the result:

The equation \(-3 = 0\) is a contradiction. This means that there is no value of \(n\) that will satisfy the equation. In other words, there is no solution to this equation.