Find the x- and y-intercepts of the graph of 6, x, minus, 5, y, equals, 186x−5y=18. State each answer as an integer or an improper fraction in simplest form.
To find the x-intercept, we set $y=0$ and solve for $x$. Substituting into the equation $186x-5y=18$, we have $186x = 18$, or $x=\frac{18}{186} = \frac{1}{10}$. So the x-intercept is $\boxed{\frac{1}{10}}$.
To find the y-intercept, we set $x=0$ and solve for $y$. Substituting into the equation $186x-5y=18$, we have $-5y = 18$, or $y=-\frac{18}{5} = -\frac{36}{10}$. So the y-intercept is $\boxed{-\frac{36}{10}}$.