Question

1/y-2=2/y+1

Answer 1

cross multiply:
2(y-2) = 1(y+1)
can you proceed from there?

Answer 2

5?

Answer 3

That's correct.

Answer 4

how do i know if it has an extraneous root

Answer 5

Do i put the 5 in place of the y's

Answer 6

If you plug your solution back in for y only to find that it does not work. In this case it has an extraneous root.

Answer 7

For this problem, you will see that you arrive at 6 = 6. This is true, so there are no extraneous roots.

Answer 8

Okay :) Thanks for your help!

Answer 9

@qpHalcy0n how would you set up this question: 5/(2x+6) - 2= (1-8x)/4x ?

Answer 10

You can split the right side up to look like:
\[1/4x - 8x/4x = 1/4x - 2\]
This should get you on the right track.