Final answer:
To balance the equation when one side is multiplied by 3, the other side must also be multiplied by 3. Applying this to the equation 23 + 43 = 66, both sides would result in 198, thus maintaining equality.
Step-by-step explanation:
To maintain the balance of an equation, what is done to one side must also be done to the other. In this case, we are given the equation 23 + 43 = 66, and we are asked what would happen if one side is multiplied by 3. If we choose to multiply the left side by 3, we would have to do the same to the right side. The principle behind this is that multiplication or division by the same number on both sides of an equation does not change equality.
Performing this multiplication would look like this:
On the right side: 66 × 3.
(23 × 3) + (43 × 3)
66 × 3 = 198
Therefore, both sides of the equation, when multiplied by 3, would result in 198, keeping the equation balanced.