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Math Help - Can you check my answer?

  1. #1
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    Can you check my answer?

    We are asked to solve:

    I know this is simple, but im reallly rusty. So what I tried to do is get rid of the x-3 by multiply both sides by it

    =

    Then I moved the variables to one side and the integers to another:




    Then I divided both sides by -3


    Was this the correct method of solving these?
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  2. #2
    Super Member Matt Westwood's Avatar
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    Re: Can you check my answer?

    Quote Originally Posted by NewGuy21 View Post
    We are asked to solve:

    I know this is simple, but im reallly rusty. So what I tried to do is get rid of the x-3 by multiply both sides by it

    =

    Then I moved the variables to one side and the integers to another:




    Then I divided both sides by -3


    Was this the correct method of solving these?

    First the question: are you trying to solve f(x) = 0? If so then ...

    The first line where you multiply top and bottom by x - 3 note that (x - 3) \times 0 \ne x - 3.

    Carry on from there ...
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  3. #3
    MHF Contributor ebaines's Avatar
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    Re: Can you check my answer?

    Just to add - what you solved for was f(x)=1, not f(x) =0. Some advice: always double-check your work, in this case by substituting x=-11/3 back into the original equation to see if it works out. If you put x=-11/3 into the equation you get:

     f(-11/3) = \frac {4(\frac {-11} 3 ) +8}{\frac {-11} 3 -3} = \frac { \frac {-44+24} 3}{\frac {-11-9}{3}} = \frac {-20}{-20} = 1

    From this you can see that your answer i incorrect.
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  4. #4
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    Re: Can you check my answer?

    Quote Originally Posted by NewGuy21 View Post
    We are asked to solve:

    I know this is simple, but im reallly rusty. So what I tried to do is get rid of the x-3 by multiply both sides by it

    =

    Then I moved the variables to one side and the integers to another:




    Then I divided both sides by -3


    Was this the correct method of solving these?
    Please mention whether f(x)= 0 or 1, so that we can help you !!!
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