Question

\frac{ 3 }{ 4 }t + \frac{ 5 }{ 6 } = \frac{ 2 }{ 3 }t

Answer 1

\[\frac{ 3 }{ 4 }t + \frac{ 5 }{ 6 } = \frac{ 2 }{ 3 }t\]

Answer 2

Solve for the equation and state the solution

Any solution, no solution, one solution, zero solution

Answer 3

@PRAETORIAN.10

Answer 4

\[\frac 34 t - \frac 23 t = -\frac 56\]
\[\implies t(\frac 34 - \frac 23) = -\frac 56\]
\[\huge\implies t = -\frac{\frac 56}{\frac 34 - \frac 23}\]
solve that and you have t

Answer 5

I don't understand the thought process behind the modeling you did for this equation

Answer 6

easy way is to take LCM of denominators 4,6 and 3 and multiply the whole equation with the LCM

Answer 7

So convert the denominators into 12?

Answer 8

yes absolutely

Answer 9

Yeah I get

9/12t + 10/12 = 8/12t

Answer 10

now multiply and divide (10/12) with t

Answer 11

I'm not sure what you mean...do 10/12 * t ?

Answer 12

all denominators except the 10/12 doesn't have t

Answer 13

\[10/12=10t/12t\]

Answer 14

like the above

Answer 15

then all the denominators will be the same and will be cancelled

Answer 16

Seems kinda weird to just pull out a t and slap it on a number out of the blue, haha, maybe that's just c;

Answer 17

it saves time ,lol

Answer 18

19/12t = 8/12t

Answer 19

?

Answer 20

\[3t/4 +5/6=2t/3\]

Answer 21

Yeah

9/12t + 10/12 = 8/12t

Answer 22

\[9t/12 +10/12=8t/12\]

Answer 23

Then we multiplied 10/12 by t, to get 10/12t

Answer 24

For work shown, I just did 9/12t + (t) 10/12 = 8/12t to show that I multiplied t with 10/12

Answer 25

to get 10/12t

Answer 26

here if we multiply by 12 to both sies all the denominator will be canceled

Answer 27

sry

Answer 28

look at the equation now

Answer 29

\[9t+10=8t\]

Answer 30

To make it 9t + 10 =8t

Answer 31

\[9t -8t+10=0\]

Answer 32

yes

Answer 33

1t + 10 = 0

Answer 34

i think u can calulate {t} easily now

Answer 35

or just t

Answer 36

Minus 10 from both sides

Answer 37

t = -10

Answer 38

yes

Answer 39

Thanks so much @mathmath333 ;3