SOLUTION: Hi, please help me find x in this equation: {{{2+5/(x-4) = (x+1)/(x-4)}}}

Algebra ->  Equations -> SOLUTION: Hi, please help me find x in this equation: {{{2+5/(x-4) = (x+1)/(x-4)}}}      Log On


   

Question 993911: Hi, please help me find x in this equation: 2%2B5%2F%28x-4%29+=+%28x%2B1%29%2F%28x-4%29
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
2%2B5%2F%28x-4%29 = %28x%2B1%29%2F%28x-4%29.

Multiply both sides by (x-4).

You will get

2*(x-4) + 5 = x+1.

Simplify:

2x - 8 + 5 = x + 1.

x = 4.

But  x = 4  is prohibited,  because the original equation has  (x-4)  in the denominators.  It is prohibited to divide by zero.

Thus the equation has no solutions.




The plot of 2%2B5%2F%28x-4%29+-+%28x%2B1%29%2F%28x-4%29