SOLUTION: Please help. I am supposed to solve this: z-2/z+1= 5/7(5/7 is a fraction)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help. I am supposed to solve this: z-2/z+1= 5/7(5/7 is a fraction)      Log On


   

Question 220807: Please help. I am supposed to solve this:
z-2/z+1= 5/7(5/7 is a fraction)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problems is:
%28%28z-2%29%29%2F%28%28z%2B1%29%29 = 5%2F7
cross multiply
7(z-2) = 5(z+1)
:
7z - 14 = 5z + 5
:
7z - 5z = 5 + 14
:
2z = 19
:
z = 19%2F2
z = 9.5
;
;
Check solution in original equation:
%289.5-2%29%2F%289.5%2B1%29 = 5%2F7 = .7142857
7.5%2F10.5 = .7142857