How do you solve #\frac { 6y } { y ^ { 2} - 25} + \frac { 9} { y - 5} = \frac { 5} { y + 5}#?
2 Answers
Explanation:
First, we should try to get the common denominator for all of the fractions.
We should know that
Since all of the denominators are the same, we can ignore them for now to get....
We subtract
Divide 10 on both sides to get...
You can plug it in if you want to, and you should get...
If you need me to go through some details, just ask me in the comments.
-Sakuya
Explanation:
Notice that the first denominator is
This is the same as
Multiply by 1 and you do not change the value. However, 1 comes in many forms.
Now that the denominators are all the same we can just forget about them. Or, if you wish to be a purist you can say: multiply all of both sides by
Collecting like terms we have:
divide both sides by 10