Step-by-step explanation:
[tex]5x-3y=11\\\\x-intercept\ is\ for\ y=0\\\\5x-3(0)=11\\5x-0=11\\5x=11\qquad\text{divide both sides by 5}\\x=\dfrac{11}{5}\\\\y-intercept\ is\ for\ x=0\\\\5(0)-3y=11\\0-3y=11\\-3y=11\qquad\text{divide both sides by (-3)}\\y=-\dfrac{11}{3}[/tex]
