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Math Help - linear equation problem (again)

  1. #1
    Newbie brainfreeze's Avatar
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    linear equation problem (again)

    3y+4= y/2+9

    how do i do this?! im confused
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  2. #2
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    Quote Originally Posted by brainfreeze View Post
    3y+4= y/2+9

    how do i do this?! im confused
    Get the "unknown" (in this case y) by itself on one side of the equation. Here, you might start by getting both "y"s on the left and anything not involving "y" on the right. Since there is a "y/2" added on the left, do the opposite: subtract y/2 from both sides: 3y+ 4- y/2= y/2+ 9- y/2 becomes (3- 1/2)y+ 4= 9 or (6/2- 1/2)y+ 4= (5/2)y+ 4= 9. Now subtract 4 from both sides: (5/2)y+ 4- 4= 9- 4 or (5/2)y= 5. Since y is now multiplied by 5/2, do the opposite: divide both sides by 5/2 (or, same thing, multiply both sides by 2/5): (2/5)(5/2)y= (2/5)(5) or y= 2.
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  3. #3
    Newbie brainfreeze's Avatar
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    thanks, but im stuck again lol,

    3/4t= -1 7/8

    ive tried to move 7/8 to the other side,
    but only to fail.
    this is what keeps happening

    3/4t= -1 7/8
    (3/47/8)t = -1

    my answer keeps coming up t=-1 1/6
    but the answer is -2 1/6

    now i know ive done something wrong
    but im not sure what it is lol
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  4. #4
    Member SENTINEL4's Avatar
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    \frac{3}{4}t=-\frac{7}{8} Is this the problem you want to solve?
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  5. #5
    Newbie brainfreeze's Avatar
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    thats exactly what im trying to solve
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  6. #6
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    Quote Originally Posted by SENTINEL4 View Post
    \frac{3}{4}t=-\frac{7}{8} Is this the problem you want to solve?
    Quote Originally Posted by brainfreeze View Post
    thats exactly what im trying to solve
    @OP: Start by multiplying both sides of the equation by 8:

    6t = -7.

    Therefore t = -7/6. Your answer is correct.
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