Short Answer
ITEM 17 - from the lesson 6 Solve a Linear Equation
1. In your own words, explain why solving 10=2x uses the Division Property of Equality to isolate x.
2. Provide a different equation that requires the use of the Division Property of Equality.
1. Solving 10=2x uses the Division Property of Equality to isolate x because we want to find the value of x that satisfies the equation. In order to do this, we need to isolate x on one side of the equation. The Division Property of Equality allows us to divide both sides of the equation by the coefficient of x, which in this case is 2. By dividing both sides by 2, we can solve for x and find its value.
2. For example, let's consider the equation 20 = 5y. In order to isolate y, we can use the Division Property of Equality. By dividing both sides of the equation by 5, we get 20/5 = 5y/5. This simplifies to 4 = y, which means y has a value of 4 that satisfies the equation.