Use the Division Property of Equality in the form px = q to solve the following equation: 2/3x = -10

Answer 1

To solve the equation \( \frac{2}{3}x = -10 \) using the Division Property of Equality, we need to isolate \( x \).

1. We start with the equation: \[ \frac{2}{3}x = -10 \]

2. To isolate \( x \), we need to eliminate the fraction \( \frac{2}{3} \). We do this by dividing both sides of the equation by \( \frac{2}{3} \). This is equivalent to multiplying by the reciprocal, which is \( \frac{3}{2} \):

   \[ x = -10 \cdot \frac{3}{2} \]

3. Now, we perform the multiplication on the right side:

   \[ x = -10 \cdot \frac{3}{2} = -15 \]

Therefore, the solution to the equation \( \frac{2}{3}x = -10 \) is:

\[ \boxed{-15} \]