Question

Which property of equality is shown in the step 1 below for solving the equation that is displayed?
Original Equation: 9/2 x + 4 = 30
Step 1: 9/2 x + 4 - 4 = 30 - 4

Answer 1

The property of equality being demonstrated in Step 1 is the **Subtraction Property of Equality**. This property states that if you subtract the same amount from both sides of an equation, the two sides remain equal. In this case, you subtracted 4 from both sides of the original equation \(9/2 x + 4 = 30\), resulting in \(9/2 x + 4 - 4 = 30 - 4\).