SOLUTION: Solve equations containing rational expressions: z/z+3=3z/5z-1

Algebra ->  Expressions-with-variables -> SOLUTION: Solve equations containing rational expressions: z/z+3=3z/5z-1      Log On


   

Question 356982: Solve equations containing rational expressions:
z/z+3=3z/5z-1
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
z%2F%28z%2B3%29=3z%2F%285z-1%29. Assuming in the emantime that z are not equal to -3 or 1/5, we get 5z%5E2-z+=+3z%5E2%2B9z.
5z%5E2-3z%5E2-z-9z=0,
2z%5E2+-+10z=0,
z%5E2+-+5z+=+0,
z%28z-5%29+=+0,
z=0 or z=5. Since neither of z=0 or z=5 are equal to -3 or 1/5, the solution set is {0,5}.