Final answer:
To solve the equation x/3 + 1 = 7, we first use the Subtraction property of equality to get x/3 = 6 and then use the Multiplication property of equality by multiplying both sides by 3 to find x = 18.
Step-by-step explanation:
To solve the equation x/3 + 1 = 7, we need to isolate the variable x. We can start by utilizing the Subtraction property of equality, which states that subtracting the same number from both sides of an equation keeps the equation balanced. In this case, we subtract 1 from both sides:
x/3 + 1 - 1 = 7 - 1
x/3 = 6
Next, we apply the Multiplication property of equality by multiplying both sides by 3 to eliminate the fraction and solve for x:
3 * (x/3) = 6 * 3
x = 18
This process shows us that the correct property used to isolate and solve for x is the Multiplication property of equality.