SOLUTION: Not sure if I'm in the right place. I am stuck on this problem, and can't find anyone who understands it. 3/y-3 - 7/y+2 + 4 = 0 If this isn't the right place, can you tell me

Question 329664: Not sure if I'm in the right place. I am stuck on this problem, and can't find anyone who understands it.
3/y-3 - 7/y+2 + 4 = 0
If this isn't the right place, can you tell me where I need to post?
Thanks so much for your help!!!
S

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve

:
It's an equation so we can get rid of the denominators by mult by (y-3)(y+2)
(y-3)(y+2)* - (y-3)(y+2)* + 4(y-3)(y+2) = 0
:
Cancel the denominators, FOIL
3(y+2) - 7(y-3) + 4(y^2 - y - 6) = 0
:
3y + 6 - 7y + 21 + 4y^2 - 4y - 24 = 0
:
Combine like terms, form a quadratic equation
4y^2 + 3y - 7y - 4y + 6 + 21 - 24 = 0
:
4y^2 - 8y + 3 = 0
Factor
(2y - 3)(2y - 1) = 0
Two solutions
2y = 3
y = 1.5
and
2y = 1
y = .5
:
:
Check solution using x=1.5 in the original equation

-2 - 2 + 4 = 0
:
You can check the x=.5 solution

RELATED QUESTIONS
A friend of mine asked me how this problem would work; if y varies directly with x, and... (answered by jim_thompson5910)

I'm not sure I am in the right section, but can anyone help with the following problem? (answered by richard1234)

One of the problems i am stuck on: Complete the following table and DO NOT GRAPH I have... (answered by solver91311)

If m<1=9x+6, m<2=2(5x-3),and m<3=5y+14. Find X and Y. I can find X but not sure about Y... (answered by ikleyn)

I am stuck on thise problem, I tried to do it but not sure I did it right. Please help!!... (answered by Alan3354)

Hi, I have a question and it is find the slope of the linear function f(t)=(3-4t)/5. (answered by venugopalramana)

Hello, Can someone help me with these, I have some of the graphs but I not able to post... (answered by jim_thompson5910)

I sure hope that I chose the right topic, if not I apologize. I am stuck on this word... (answered by rossiv53)

Given sec t = -4 and t is in quadrant 3, find the other 5 trig functions of t. At... (answered by lwsshak3)