Question

In a farm there are x chickens and y pigs. if the total number of chickens and pigs in the farm is 30 ant the total number of legs is 80.

a) form two simultaneous equations in x and y.


b) solve the equations to find the number of chickens and pigs in the farm.​

Answer 1

a) x + y = 30

2x + 4y = 80

b) chickens - 20

pigs - 10

Explanation:

a) x + y = 30

2x + 4y = 80

b) x + y = 30 (1) times by 2

2x + 4y = 80 (2) times by 1

2x +2y = 60 (1)

2x + 4y = 80 (2)

Take 1 away from 2.

2y = 20

y=10

Substitute it back into the original equations.

x+y=30

x + 10 = 30

x = 20