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) (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.
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