SOLUTION: Sorry, this is not out of a book, just a list of practice problems an instructor made up! Here is the problem: y=(2x+5)/(5x-7) Solve for x

Algebra ->  Expressions-with-variables -> SOLUTION: Sorry, this is not out of a book, just a list of practice problems an instructor made up! Here is the problem: y=(2x+5)/(5x-7) Solve for x      Log On


   

Question 199470: Sorry, this is not out of a book, just a list of practice problems an instructor made up!
Here is the problem:
y=(2x+5)/(5x-7) Solve for x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the problem:
y=(2x+5)/(5x-7) Solve for x
:
y = %282x%2B5%29%2F%285x-7%29
Multiply both sides by (5x-7), results
y(5x-7) = 2x + 5
:
5xy - 7y = 2x + 5
:
5xy - 2x = 7y + 5
Factor out x on the left
x(5y - 2) = 7y + 5
:
Divide both sides by (5y-2)
x = %287y%2B5%29%2F%285y-2%29