Solve for y: y+10/y+3 = y+1/y-1

Question

Solve for y:  y+10/y+3 = y+1/y-1

anonymous · Answer

13/7
13/5
41/5

anonymous · Answer

14/5 I ment for the last one

mathmale · Answer

$$y+\frac{ 10 }{ y }+3 = \frac{ y+1 }{y-1  }$$

mathmale · Answer

If you'd like for me to guide you through the solution of this problem, or to help you check your own answer, fine.  Which would it be?

anonymous · Answer

plz walk me thrugh it

mathmale · Answer

(Good response!!!!)  Could you identify the LCD (lowest common denominator)?

anonymous · Answer

I have no clue been forever since ive done this

mathmale · Answer

All right.  your equation has four terms (3 on the left, four on the right).
Two of these terms are fractions.
These fractions have different denominators.
Multiply these two denominators together to get the LCD for this particular problem.
The LCD is:   ?

anonymous · Answer

so I multiply 3 and -1 right? im sorry I know I sound stupid

mathmale · Answer

Please do not tear yourself down, especially not here, where you have the chance to re-learn anything you've forgotten.

Two of the four terms are fractions.  One has the denominator y; the other has the denominator y-1.  Therefore, multiplying these two dens. together, we get y(y-1).

No need to multiply that out (yet).  OK so far?

mathmale · Answer

By the way, for clarification:  The first fraction is 10/y.  Its numerator is 10 and its denominator is y.  Just a review.
Your second fraction is (y+1) / (y-1).  Its numerator is y+1 and its denominator is y-1.

mathmale · Answer

Taking these two denominators and multiplying them together, we get y(y-1).

mathmale · Answer

Allie, are you OK?

mathmale · Answer

If not, what could I clear up for you?