2/3+1/4t=1/3 solve for t?

2009-07-04 8:18 pm
I've tried and i've failed. Im starting to think my instructor is messing with me.

回答 (13)

2009-07-04 8:37 pm
✔ 最佳答案
so when you are solving that type of a problem, you always start of by reading the question: what is it looking for?
in this case, the problem wants you to look for the variable t, in which that mult. by 1/4, and then added to 2/3 yields 1/3.
so in these problems, you start off by isolating the t

here goes:
2/3+1/4t=1/3

now lets move over the 2/3 to get the 1/4 and the variable t alone
2/3+1/4t=1/3 => 1/4t = 1/3 -2/3

now we simply simplify it (in other words lets subtract)
1/4t = 1/3 -2/3 => 1/4t = -(negative)1/3

okay so we have 1/4t = -1/3
now we need to get t alone (to solve the problem)
just mult. on both sides by 4 (to get rid of the 1/4) we do this because a) we need to get t alone, and b) whatever you do to one side must be done to the other (subtract, add, mult, so on..)

(4)1/4t = -1/3 (4)
the 4s cancel and you are left with
t = -4/3.


but in some cases (maybe super duper harder math, calc and all) they might give you trick answers nad all, os always check your work

2/3+1/4t=1/3
know t= -4/3, no just plug in t to the equation

2/3+1/4 (-4/3)=1/3
2/3 - 4/12 = 1/3
8/12 - 4/12 =1/3
4/12 = 1/3
1/3 = 1/3
voila, there you go! hope this helps
參考: just passed Pre Calc Honors with a A!
2016-04-06 2:54 pm
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2/3 + 1/4t = 1/3 you want to solve for t, so you're going to need to isolate it subtract both sides by 2/3 1/4t = -1/3 now you need to get rid of that 1/4 in front of the t multiply both sides by 4 t = -4/3 hope that helps!
2009-07-04 11:10 pm
Question should read as :-

2/3 + (1/4) t = 1/3

8 + 3 t = 4

3 t = - 4

t = - 4 / 3
2009-07-04 10:10 pm
2/3 + 1/4t = 1/3
1/4t = -2/3 + 1/3
1/4t = - 1/3
t = -1/3 /1/4 or - 4/3
2009-07-04 10:06 pm
I agree with all of the above answers except that I am not positive if you mean
2/3 + (1/4)t = 1/3 or 2/3 + 1/(4t) = 1/3. In the first case, t = -4/3 is correct.

In the second case, 1/(4t) = -1/3, or -3 = 4t ⇒ t = -3/4
2009-07-04 8:34 pm
like terms together so 2/3 goes to the other side and becomes -2/3
denominator is same so subtract them 1/3-2/3=-1/3
so 1/4t=-1/3
the denominator if 1/4 will go to the other side and will change to numerator plus will multiply with -1/3
so
t=-1/3*4
multiply and u get
-4/3
2009-07-04 8:33 pm
2/3+1/4t=1/3
1/4t=1/3-2/3
1/4t= - 1/3
t= - 1/3 : 1/4
t= -1/3 * 4/1
t = - 4/3
參考: Me.
2009-07-04 8:29 pm
2/3 + 1/4t = 1/3

Take 2/3 to RHS,
1/4t = 1/3 - 2/3 (Since 2/3 moves from LHS to RHS, the sign changes)
1/4t = (1-2)/3 ( Since 3 is the common denominator)
1/4t = -1/3
Now keeping t on the LHS and moving 4 to the RHS,
t = 4(-1/3)
So, t = -4/3 ( t is "minus four by three")
2009-07-04 8:21 pm
2/3 + 1/4t = 1/3
1/4t = 1/3 - 2/3
1/4t = -1/3 / *4
t = -4/3
2009-07-04 8:21 pm
1/4 t = 1/3 - 2/3 = -1/3 subtract 2/3 from both sides
t = -4/3 multiply 4 to both sides


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