SOLUTION: Not sure if this is the right section, but Im having trouble with problems such as {{{(x+1)/(x-1)=y}}}, solve for x.

Algebra ->  Expressions-with-variables -> SOLUTION: Not sure if this is the right section, but Im having trouble with problems such as {{{(x+1)/(x-1)=y}}}, solve for x.       Log On


   

Question 395883: Not sure if this is the right section, but Im having trouble with problems such as %28x%2B1%29%2F%28x-1%29=y, solve for x.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It's not really a systems of equations problem...I have changed it to "expressions involving variables."

Anyway, if we multiply by x-1 we get x%2B1+=+y%28x-1%29+=+yx+-+y. Isolating the x terms we get

y%2B1+=+yx+-+x

y%2B1+=+x%28y-1%29

x+=+%28y%2B1%29%2F%28y-1%29

Interesting, each equation is equal to its inverse function, so the two equations are symmetric about the line y = x.

graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%2B1%29%2F%28x-1%29%2C+x%29