A dog weighs two pounds less than three times the weight of a cat. The dog also weighs twenty-two more pounds than the cat.

A dog weighs two pounds less than three times the weight of a cat        d = 3c-2

The dog also weighs twenty-two more pounds than the cat     d = c + 22

 

Equate the two      3c-2 = c+ 22

                               2c = 24

                                  c = 12      Use this to calculate the dog weight by substituting into one of the equations