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Math Help - algebra question

  1. #1
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    algebra question

    I dont know how solve this problem:

    Solve 4y+1=2y+8
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by girliegal View Post
    I dont know how solve this problem:

    Solve 4y+1=2y+8
    our objective here, is to get y on one side of the equal sign by itself. whatever we don't want on one side, we subtract it from both sides of the equation. so let's do that.

    4y + 1 = 2y + 8

    Let's get the y's on the left side. so i want to get rid of the 2y on the right, so subtract it from both sides.

    \Rightarrow 4y + 1 - 2y = 2y - 2y + 8

    \Rightarrow 2y + 1 = 8

    Now let's get rid of the 1 on the left side

    \Rightarrow 2y + 1 - 1 = 8 - 1

    \Rightarrow 2y = 7

    Now divide both sides by 2

    \Rightarrow \frac {2y}{2} = \frac {7}{2}

    \Rightarrow y = \frac {7}{2}
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  3. #3
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    Smile

    Thanks for posting.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by girliegal View Post
    Thanks for posting.
    Thanks for clicking the "thanks" button! you understood everything?
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  5. #5
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    I didnt understand the end bit.

    why did you divide the end bit by two?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by girliegal View Post
    I didnt understand the end bit.

    why did you divide the end bit by two?
    remember, the objective was to get y only on one side. at the end i had 2y, i needed to have only y. when i divided by 2, it canceled the 2 that was beside the y, so i was left with y on one side, like i wanted. but since it is an equation, whatever i do on one side, i have to do on the other to keep things equal. so i divided by 2 on the right side as well to get 7/2
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  7. #7
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    Quote Originally Posted by Jhevon View Post
    remember, the objective was to get y only on one side. at the end i had 2y, i needed to have only y. when i divided by 2, it canceled the 2 that was beside the y, so i was left with y on one side, like i wanted. but since it is an equation, whatever i do on one side, i have to do on the other to keep things equal. so i divided by 2 on the right side as well to get 7/2
    k.I understand thx
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