To represent the value of \( p \) in the form \( px = q \) from the equation \(-28x = \frac{2}{53}\), we first need to isolate \( p \).
Starting with the given equation: \[ -28x = \frac{2}{53} \]
We can express this in the form \( px = q \) by identifying \( p \) and \( q \).
To do that, let's rewrite the equation:
- We can divide both sides by \( -28 \) to isolate \( x \): \[ x = \frac{2}{53} \cdot \frac{-1}{28} \]
This simplifies to: \[ x = \frac{-2}{53 \cdot 28} \]
Next, we want to express the equation in the form \( px = q \). Thus, we can represent this as: \[ -28x = \frac{2}{53} \]
Here, we identify:
- \( p = -28 \)
- \( q = \frac{2}{53} \)
Thus, we can express \( p \) in the desired form \( px = q \): \[ -28x = \frac{2}{53} \]
So, \( p = -28 \) and the equation is already in the correct form, confirming: \[ px = q \text{ where } p = -28 \text{ and } q = \frac{2}{53}. \]