5 ziggles + 4 zoggles = 30 zaggles

2 ziggles + 3 zoggles = 19 zaggles

=> 7 ziggles + 7 zoggles = 49 zaggles

=> \(7\left(ziggles+zoggles\right)=49zaggles\)

=> 1 ziggles + 1 zoggles = 7 zaggles

Answer: 7 zaggles