Final answer:
The Subtraction property of equality is used to eliminate the 25 in the equation by subtracting it from both sides, which keeps the equation balanced.
Step-by-step explanation:
The property that can be used to eliminate the 25 in the equation 10 = 25 - 5t is the Subtraction property of equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal. So, if you subtract 25 from both sides of the equation, you get 10 - 25 = 25 - 5t - 25, which simplifies to -15 = -5t. By doing so, you have eliminated the number 25 from the equation.