Let the number of large dogs signed up be 'l'
Number of small dogs = l +36
Total number of dogs signed up for dog show = 49
l + l + 36 = 49
2l + 36 = 49 ( add like terms)
2l + 36 - 36 = 49-36
2l = 13 (divide both side by 2)
l = 13/2
l = 6.5
As the number of dogs never be in decimal so
So number of large dogs are 7
Number of small dogs = l + 36
= 7 + 36 = 43
Number of small dogs are signed up to compete = 43