SOLUTION: Hello tutor- this is an algebraic equation involving fractions. I know I have to find the LCD- but I am a bit lost...Thanks. Show the steps that you would take to solve the foll

Question 190451: Hello tutor- this is an algebraic equation involving fractions. I know I have to find the LCD- but I am a bit lost...Thanks.
Show the steps that you would take to solve the following algebraically:
(3)/(x-3)=(x)/(x-3)-(3)/(2)

What potential solution did you obtain? Explain why this is not a solution.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Multiply EVERY term by the LCD

Simplify

Distribute and multiply

Combine like terms.

Subtract 9 from both sides

Combine like terms.

Divide both sides by -1 to isolate "x"

Rearrange the terms.

So a possible solution is , but we need to check it. So plug it back into the original equation

Start with the given equation

Plug in

Combine like terms.

Since division by zero is undefined, this means that is NOT a solution (since it isn't even in the domain).

So there are no solutions.
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