SOLUTION: Solve the system of equation 4x/(x^2-25) + 2/(x-5) = 1/(x+5). Find if there is solution but if there is no solution, explain why the equation doesn't have solution.

Algebra ->  Systems-of-equations -> SOLUTION: Solve the system of equation 4x/(x^2-25) + 2/(x-5) = 1/(x+5). Find if there is solution but if there is no solution, explain why the equation doesn't have solution.      Log On


   

Question 1169093: Solve the system of equation 4x/(x^2-25) + 2/(x-5) = 1/(x+5). Find if there is solution but if there is no solution, explain why the equation doesn't have solution.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides of the equation by (x-5)(x+5) and simplify.

In case your solution shows x=5 or x=-5, neither of these will work, because this would make the original equation undefined - through division by 0.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

What is written in the post, IS NOT a system of equations.

It is ONE SINGLE EQUATION, instead.