Find the x- and y-intercepts of the graph of 5, x, plus, 4, y, equals, 155x+4y=15. 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, we get \[155x+4(0)=15.\] Solving this equation gives $x=\frac{15}{155}=\boxed{\frac{3}{31}}.$
To find the y-intercept, we set $x=0$ and solve for $y$. Substituting, we get \[155(0)+4y=15.\] Solving this equation gives $y=\frac{15}{4}=\boxed{\frac{15}{4}}.$