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    2x-5/2 - x-1/3 =1

    I got 3.5 but that doesn't substitute back- I'm really confused as to how to get the right answer!. Would there be two solutions I have no ideaa?
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    First thing, collect the expressions - make sure there's only one x value and one fraction on one side of the equation. You'll need to multiply the denominators to be able to collect the fractions.

    Only if you're really stuck:
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    \ x-\frac{13}{6}= 1
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    Not two solutions by the way, since this isn't a quadratic.
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    (Original post by Ihatespirometers)
    2x-5/2 - x-1/3 =1

    I got 3.5 but that doesn't substitute back- I'm really confused as to how to get the right answer!. Would there be two solutions I have no ideaa?
    Is this \frac{2x-5}{2} - \frac{x-1}{3} = 1? Please use brackets to remove ambiguity.

    If the above is what you meant, then just multiply both sides of the equation by 6 and isolate the x on one side.
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    (Original post by Zacken)
    Is this \frac{2x-5}{2} - \frac{x-1}{3} = 1? Please use brackets to remove ambiguity.

    If the above is what you meant, then just multiply both sides of the equation by 6 and isolate the x on one side.
    Actually, that question would have made more sense. Thought it was four separate terms
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    (Original post by BlueBlueBells)
    Actually, that question would have made more sense. Thought it was four separate terms
    It could be? I dunno, let's just wait for the OP now.
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    (Original post by Zacken)
    Is this \frac{2x-5}{2} - \frac{x-1}{3} = 1? Please use brackets to remove ambiguity.

    If the above is what you meant, then just multiply both sides of the equation by 6 and isolate the x on one side.
    YES IT IS. Ok so I did this

    I multipied the first term by 3 then the second by 2 to get a denominator of 6

    (6x-15)/ 6 - (2x-2)/6 = 1

    This is (4x -13)/6 = 1
    then I multiplied the denominator by 6 and the one to get
    (4x-13)=6
    Then I added 13 to both sides to get
    4x=19, which is 3.5- what have I done wrong?

    BlueBlueBells
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    (Original post by Ihatespirometers)
    YES IT IS. Ok so I did this

    I multipied the first term by 3 then the second by 2 to get a denominator of 6

    (6x-15)/ 6 - (2x-2)/6 = 1

    This is (4x -13)/6 = 1
    then I multiplied the denominator by 6 and the one to get
    (4x-13)=6
    Then I added 13 to both sides to get
    4x=19, which is 3.5- what have I done wrong?

    BlueBlueBells
    4x = 19, so x = 19/4 = 4.75 - which is correct
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    (Original post by Zacken)
    4x = 19, so x = 19/4 = 4.75 - which is correct
    oh wow my calculator must have done something wrong- oops. Thank you. I kept getting 3.5- I must have kept typing something wrong. Thank you very much
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    (Original post by Zacken)
    4x = 19, so x = 19/4 = 4.75 - which is correct
    Oh wow I'm so astupid I was doing this for ages because I thought they were meant to equal 0 for some reason when it clearly says 1!! So annoying- so much time wasted. Thanks.
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    (Original post by Ihatespirometers)
    But 4.75 doesn't sub back into the original equation ?
    Yeah, it does.

    \frac{2 \cdot 4.75 - 5}{2} = 2.25

    \frac{4.75-1}{3} = 1.25

    2.25 - 1.25 = 1
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    (Original post by Ihatespirometers)
    Oh wow I'm so astupid I was doing this for ages because I thought they were meant to equal 0 for some reason when it clearly says 1!! So annoying- so much time wasted. Thanks.
    Haha, it happens to us all. :lol:
 
 
 
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