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Math Help - How to simplify this answer?

  1. #1
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    How to simplify this answer?

    How to simplify this my answer to 2x+2y-13=0

    My answer is :-
     \frac{4x-2y-15}{2\sqrt{5}} =  \frac{2x-y-1}{\sqrt{5}}

    How to simplify my answer to get 2x+2y-13=0


    Thank you
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  2. #2
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    =

    Hmm... It looks like you tried to factor a 2 out of the numerator and then cancel 2 from both the numerator and denominator but..

    Factor 2 out of -15 and get... -1?

    I'm not sure what your original problem was, but you may want to re-check your arithmetic over all.
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  3. #3
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    Can you post the original problem?


    01
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by mj.alawami View Post
    How to simplify this my answer to 2x+2y-13=0

    My answer is :-
     \frac{4x-2y-15}{2\sqrt{5}} =  \frac{2x-y-1}{\sqrt{5}}

    How to simplify my answer to get 2x+2y-13=0


    Thank you

     \frac{4x-2y-15}{2\sqrt{5}} =  \frac{2x-y-1}{\sqrt{5}}

    multiplying both sides by 2\sqrt{5} Yields

    4x-2y-15=2(2x-y-1)\Longleftrightarrow{4x-2y-15}=4x-2y-2\Longleftrightarrow-15=-2??

    The logic has gone bad.............

    It appears that something has gone way way wrong here. The only way to simplify your answer to the given equation would be to develop a new branch of Mathematics

    Sorry buddy. but if you post the original problem, I'm here for you.
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  5. #5
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    Hello, mj.alawami!

    You made an error somewhere.
    Your answer is quite impossible.


    My answer is: .  \frac{4x-2y-15}{2\sqrt{5}} \:=\: \frac{2x-y-1}{\sqrt{5}} . . . . wrong!

    How to simplify my answer to get: . 2x+2y-13\:=\:0

    You have: . \frac{4x-2y - 15}{2\sqrt{5}} \;=\;\frac{2x-y-1}{\sqrt{5}}

    Multiply by 2\sqrt{5}\!:\quad 4x - 2y - 15 \;=\;2(2x-y-1) \quad\Rightarrow\quad 4x - 2y - 15 \:=\:4x - 2y - 2

    . . and we have: . -15 \:=\:-2 \quad\Rightarrow\quad 0 \:=\:13 \;\;??


    I believe you need to have: . \frac{4x-2y - 15}{2\sqrt{5}} \;=\;\frac{{\color{red}x - 2y} - 1}{\sqrt{5}}

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