Question
What property are you using in the first step to solve the equation x-1/6 = 2
Answers
GPT-4o mini
To solve the equation \( x - \frac{1}{6} = 2 \), the property being used in the first step is the **Addition Property of Equality**. This property states that you can add the same number to both sides of an equation without changing the equality.
In this case, you would add \(\frac{1}{6}\) to both sides of the equation:
\[
x - \frac{1}{6} + \frac{1}{6} = 2 + \frac{1}{6}
\]
This simplifies to:
\[
x = 2 + \frac{1}{6}
\]
You can then continue to simplify the right side to find the value of \(x\).
In this case, you would add \(\frac{1}{6}\) to both sides of the equation:
\[
x - \frac{1}{6} + \frac{1}{6} = 2 + \frac{1}{6}
\]
This simplifies to:
\[
x = 2 + \frac{1}{6}
\]
You can then continue to simplify the right side to find the value of \(x\).