SOLUTION: How do you solve: {{{(z - 4)/(z - 3) = (z + 2)/(z + 1)}}} Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you solve: {{{(z - 4)/(z - 3) = (z + 2)/(z + 1)}}} Thank you!       Log On


   

Question 324390: How do you solve:
%28z+-+4%29%2F%28z+-+3%29+=+%28z+%2B+2%29%2F%28z+%2B+1%29

Thank you!
Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28z+-+4%29%2F%28z+-+3%29+=+%28z+%2B+2%29%2F%28z+%2B+1%29
Multiply both sides by %28z-3%29%28z%2B1%29
%28z%2B1%29%28z-4%29=%28z-3%29%28z%2B2%29
z%5E2-4z%2Bz-4=z%5E2%2B2z-3z-6
z%5E2-3z-4=z%5E2-z-6
-2z=-2
highlight%28z=1%29

Answer by JBarnum(2146) About Me  (Show Source):