Assume he can print x number of large and y number of small posters

Therefore, x+y = 6000 ..... (1) (since, election campaign needs to print 6000 postcards)

now x number of large postcard will cost 2x cent and y numver of small poster will cost y cent (since, it costs 2 cents to print a large postcard, and 1 cent to print a small postcard)

Therefore, 2x+y = 9200 ... (2) (Since, $92.00 is given for printing postcards)

Subtracting eqn 1 from eqn 2,

x = 9200-6000=3200

Putting this value of x in eqn 1,

3200+y = 6000

or y = 6000-3200 = 2800

So, He will print 3200 large posters and 2800 small posters (Answer).