Question

t-2/t+3=3/8

Answer 1

what is that? and i know the answer is 5 i just don't know how to get there

Answer 2

no its not, those are the two solutions

Answer 3

the back of my book has the answer and it says its 5. i just don't know how they got that

Answer 4

Me neither, because the answer is NOT 5

Answer 5

$$t-\frac{2}{t}+3=\frac{3}{8}$$

Answer 6

Does not have the solution $$t=5$$

Answer 7

its \[\frac{ t-2 }{ t+3} = \frac{ 3 }{ 8 }\]

Answer 8

Do you want the answer/s or do you want to know how to solve it

Answer 9

how to solve it

Answer 10

IF you substitute in $$t=5$$, you get $$\frac{5-2}{5+3}=\frac{3}{8}$$, as required.

Answer 11

but how do you figure out t=5?

Answer 12

You should multiply both sides by $$t+3$$, and use some algebra to solve for $t$

Answer 13

You get $$t-2=\frac{3}{8}(t+3)$$

Answer 14

Multiply both sides by $8$ now

Answer 15

$$8(t-2)=3(t+3)$$

Answer 16

Distribute the $8$ and $3$

Answer 17

$$8t-16=3t+9$$

Answer 18

Subtract 3t from both sides

Answer 19

$$5t-16=9$$

Answer 20

add 16 to both sides

Answer 21

$$5t=25$$

Answer 22

Divide both sides by 5

Answer 23

$$t=5$$

Answer 24

Of course when you do this on your own it will be much faster, I just wrote out ALL the steps.

Answer 25

that helped a lot though, thank you very much!