When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Question

Original Equation:−3x=3
First Step:x=−1

Answer 1

Bianca's first step in solving the equation \(-3x = 3\) involves isolating \(x\). To achieve this, we divide both sides of the equation by \(-3\).

The property that justifies this operation is the Division Property of Equality, which states that if two expressions are equal, dividing both sides of the equation by the same non-zero number does not change the equality.

Here is how it looks in this case:

\[ \frac{-3x}{-3} = \frac{3}{-3} \]

This simplifies to:

\[ x = -1 \]

So, the correct justification for Bianca's first step is the Division Property of Equality.