Final answer:
The correct sequence of properties of equality used in the given algebraic steps is Subtraction, Subtraction, Division, which leads to the final solution x = -1. This corresponds with option C) Subtraction, Subtraction, Division, Multiplication.
Step-by-step explanation:
The student is asked to identify which property of equality is used in each step of the algebraic process. Starting with the equation 5 + 7x = 36x + 24, the steps taken are:
- Subtracting 7x from both sides to get 5 = 29x + 24.
- Subtracting 24 from both sides to get 5 - 24 = 29x.
- Dividing both sides by 29 to solve for x.
Looking at the options provided, the correct sequence of properties used in these steps is Subtraction, Subtraction, Division. Therefore, the answer is:
5 + 7x = 36x + 24 (Initial equation)
5 - 29x = 24 Subtraction is used to combine like terms on both sides.
29x = 29 Subtraction is used again to isolate the variable term on one side.
x = -1 Division is used to solve for the variable.
The correct option which describes these steps is C) Subtraction, Subtraction, Division, Multiplication.