Question

Mathematics help.

Answer 1

Can someone please tell me where did the 5t=2t+(10t/6)+(10/1) come from?

Answer 2

start with

1/2 = 1/5 + 1/6 + 1/t

multiply everything by t (to get rid of that t in the denominator)

t/2 = t/5 + t/6 + 1

multiply by 2 to remove the 2 in the first denominator

t = 2t/5 + 2t/6 + 2

then multiply everything by 5 to get

5t = 2t + 10t/6 + 10

Answer 3

the logic behind this is that you are eliminating denominators, one by one, to get rid of those ugly fractions

Answer 4

to remove the 2 in the first denominator?

Answer 5

i do not see a two in a denominator.

Answer 6

t/2 = t/5 + t/6 + 1

t/2

Answer 7

alright.

Answer 8

why multiply everything by 5, wouldnt it be only 5 on the left side which will result in 5x=2x+2x/6+2/1?

Answer 9

if you multiply the left hand side by something you have to multiply the other side too

Answer 10

to keep both sides equal

Answer 11

so it would be 5t=10t+10t/6+10/1?

Answer 12

almost

Answer 13

start with :

t = 2t/5 + 2t/6 + 2

you end up with

5t = 2t*5/5 + 2*5t/6 + 2*5

Answer 14

2t*5/5? where did that come from?

Answer 15

wasnt the /5 part already on the left side of the equal sign?

Answer 16

which will result in? (drawing please.)

Answer 17

but doesnt the 5 from 2x/5 already cancel out?

Answer 18

all we're doing is sticking a 5 in front of every term

Answer 19

the 5/5 cancels out, yes

Answer 20

ok, now it is equal to 10.

Answer 21

do you know where to go from there?

Answer 22

i think.

Answer 23

multiply everything by 6?

Answer 24

yup

Answer 25

and cancel the 6's.

Answer 26

rite

Answer 27

alright, thank you very much.