Solve the following equation. You must show all your work and list the correct properties for each step to receive full credit.

(here are the possible properties to pick from: addition property of equality, subtraction property of equality, multiplication property of equality, division property of equality)



x/3 − 4 =6

1 answer

Starting with the equation:

x/3 - 4 = 6

First, we need to isolate x/3 by adding 4 to both sides of the equation using the addition property of equality:

x/3 - 4 + 4 = 6 + 4

x/3 = 10

Next, we need to isolate x by multiplying both sides of the equation by 3 using the multiplication property of equality:

3 * (x/3) = 3 * 10

x = 30

Therefore, the solution to the equation x/3 - 4 = 6 is x = 30.

Properties Used:

- addition property of equality
- multiplication property of equality