Question

There are a total of 10 pigs and ducks in the barn. There are 36 legs in 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 solution as an ordered pair (x,y).​

Answer 1

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