# How do you solve x/(x-9)-4=9/(x-9)?

Jan 18, 2016

No solution

#### Explanation:

$\frac{x}{x - 9} - 4 = \frac{9}{x - 9}$

$\frac{x - 9}{x - 9} - 4 = 0$

If we guess that $x \ne 9$, the fraction will be simplified:

$1 - 4 = 0$

$- 3 = 0$ : No solution

By the other way, if take the value 9 for x we will have a 0 in the nominator and has no solution either.