Question

Solve the equation. CHECK YOUR SOLUTION!

(t+11)/(t-11) = (11t+121)/t^2-6t-55)

Answer 1

By checking your solution, I mean just plug the answer into the equation.

Answer 2

t=6

Answer 3

And as for checking it...?

Answer 4

Maybe I can try.

Answer 5

17/-6 = 11 * 17/11*-6

Answer 6

put your t=6 back into the equation for t.
Tip: factor (11t+121)

Answer 7

I'm trying to do that. I know how to do it, I'm just trying to figure out what you'd end up getting.

Answer 8

how do you mean?

Answer 9

I mean, I'm working on what you would get after plugging in the 6.

Answer 10

ok, if you factor (11t+121)/t^2-6t-55) it really clear.
you see that one side is proportional to the other

Answer 11

Example, doing 6 plus 11, and getting 17, and then doing 6 minus 11, and getting -5, so that fraction becomes 17/-5

Answer 12

Oh, OK, let me try that...

Answer 13

you are correct 17/-5
factor the other side and you will find that it just (11*17)/(11 * -5 )

Answer 14

OK, now for the second one, I am getting 187/-55

Answer 15

And I divide the second fraction by 11... And it's equivalent to the first one!

Answer 16

yea, 187 / 11 = 17 amd -55/11 is -5
SO, the right side is 17/-5 multiplied by 1 ( 11/11 ) see?

Answer 17

Yes, I do see. Thanks!

Answer 18

rock on! just try to have fun with it!