SOLUTION: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer. 8/x-2 = 4 CHECK:

Algebra ->  Expressions -> SOLUTION: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer. 8/x-2 = 4 CHECK:      Log On


   

Question 349155: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer.
8/x-2 = 4
CHECK:
Pleaseeee help me, I am so stuck, I don't understand how to do this at all.
Thanks, I appreciate the help!
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
8/(x-2) = 4

Multiply both sides by (x - 2). By doing so, we remove the fraction on

the left side. It's easier to work without fractions.

[8/(x-2)]* (x - 2) = 4(x - 2)

8 = 4x - 8

8 + 8 = 4x

16 = 4x

16/4 = x

4 = x

The answer for x is 4.

How do we know this to be true?

We can check by going back to the original equation that was given to you and

replace x with 4. Afterward, we simplify the equation. If we get the same

answer on both sides of the equation, we will then know for sure that x = 4 is

right.

THE PROVE:

Let x = 4

8/(x-2) = 4

8/(4 - 2) = 4

8/2 = 4

4 = 4...IT CHECKS!!

This confirms that x = 4 is the right answer.