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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.​


Sagot :

Answer:

a) x + y = 30

   2x + 4y = 80

b) chickens - 20

    pigs - 10

Step-by-step 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