K= (F+460) 5/9 solve for F
K = ( F +460 )*5/99K/5= F +460F = ( 9K/5) - 460
\(K= (F+460)*\frac{5}{9} \\\\ F+460= \frac{9K}{5} \\\\ \boxed{F=\frac{9K}{5}-460}\)