Question
Which property of equality is shown in the step 1 below for solving the equation that is displayed? Original equation: 9/2x + 4 = 30
Step 1: 9/2x + 4 − 4 = 30 − 4
Step 1: 9/2x + 4 − 4 = 30 − 4
Answers
GPT-4o mini
The property of equality shown in Step 1 of solving the equation \( \frac{9}{2}x + 4 = 30 \) 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, 4 is subtracted from both sides of the equation.
So the step \( \frac{9}{2}x + 4 - 4 = 30 - 4 \) illustrates that property.
So the step \( \frac{9}{2}x + 4 - 4 = 30 - 4 \) illustrates that property.