Question

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

Answer 1

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

Explanation: