The number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eyes and 270 feet.
Let x be the number of cows and y be the number of chickens.
2x + 2y = 162 (there are 162 eyes)
4x + 2y = 270 (there are 270 feet)
From the first equation take the value of x and plug it into the equation second.
2y = 162 - 2x
y = 81 - x
4x + 2(81 - x) = 270
4x + 162 - 2x = 270
2x = 108
x = 54
y = 27
Thus, the number of cows is 54 and the number of chickens is 27 if the cows and the chickens, there are 162 eyes and 270 feet.
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