Question

2/y+3 + 3/y-4 = 5/y+6

Answer 1

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

Are you supposed to solve for y?

Answer 2

sure

Answer 3

yah solve for y

Answer 4

Multiply each term by: (y + 3)(y - 4)(y + 6) and simplify

Answer 5

i did that and got the wrong answer

Answer 6

Why don't you show the steps here and we will see if we can spot the error.

Answer 7

too much typing

Answer 8

Multiply each term by: (y + 3)(y - 4)(y + 6)
2(y-4)(y+6) + 3(y+3)(y+6) = 5(y+3)(y-4)
(2y^2 + 4y - 48) + (3y^2 + 27y + 18) = 5y^2 - 5y - 12
5y^2 + 31y - 30 = 5y^2 - 5y - 12
31y + 5y = 30 - 12
36y = 18
y = 1/2

Answer 9

oh gees thank you so much!

Answer 10

yw

Answer 11

but the answer is -11/6

Answer 12

Spotted the mistake.

Answer 13

Multiply each term by: (y + 3)(y - 4)(y + 6)
2(y-4)(y+6) + 3(y+3)(y+6) = 5(y+3)(y-4)
(2y^2 + 4y - 48) + (3y^2 + 27y + 54) = 5y^2 - 5y - 60
5y^2 + 31y + 6 = 5y^2 - 5y - 60
31y + 6 = -5y - 60
36y = -66
y = -66/36 = -11/6

Answer 14

thank you that helped a lot!!!

Answer 15

I am on east coast time and I should not be up this late. I am quitting for the day.

Answer 16

alright thanks again

Answer 17

Refer to the attachment from Mathematica.