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A CHICKEN FARMER HAS ALSO COWS FOR A TOTAL OF 30 ANIMALS AND THE ANIMALS HAVE 74 LEGS IN ALL.HOW MANY CHICKENS DOES THE FARMER HAVE IN ALL?I WANT THE EQUATION

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The Brainliest Answer!

given x+y=30

as chickens have 2 legs and cows have 4 legs, the total no. of legs become 2x+4y

given 2x+4y=74

impiles x+2y=37

x+y=30

implies y=7,x=23

the total no.of animals = 30

x+y = 30

x = 30-y -----------------------------------------------(equation 1)

total no.of legs = 74

since cows have 4 legs and chickens 2 so we get the equation as

2x+4y=74 ----------------------------------------------(equation 2)

substitute eq (1) in eq(2)

2(30-y)+4y=74

60y-2y+4y=74

2y = 74-60

2y = 14

y = 7

substitute y=7 in eq(1)

x+y=30

x+7=30

x=30-7 => x=23

therefore, no.of chickens=23 and no.of cows=7