there are a total of 10 pigs and ducks in the barn. there are 36 legs in all all each pig has four legs and each duck has two legs, use substitution to solve the linear system of equations and determine how many pigs x and ducks y there are express the solutions as as ordered pairx, y

A Farmhouse shelters 10 animals. some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there? Answer: 8 pigs and 2 ducks.

1. (A) p + d = 10

2. (B) 4p + 2d = 36

3. Multiply equation (A) with - 2; - 2p minus - 2d = - 20

4. When subtracted from equation (B), this gives you ... 2p = 16, pigs = 8

5. Use this 8 to the second equation by substitution ... 2d = 4, ducks = 2