Answer :
There are 410 chickens and 90 pigs in barn
What is linear equation?
A linear equation is an equation in which the highest power of the variable is always 1.
- It is also known as a one-degree equation.
- The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
- The standard form of a linear equation in two variables is of the form Ax + By = C.
- Here, x and y are variables, A and B are coefficients and C is a constant.
- A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
- For example, a linear equation can be expressed in the standard form, the slope-intercept form, or the point-slope form.
There are x chickens and y pigs
No. of total animals is 160
x+y=160-------(1)
since, chicken has two legs,total chicken legs is 2x,and pig has 4 legs so total pig legs is 4y.
total legs=500
2x+4y=500
2(x+2y)=500
x+2y=250
x=250-2y
put value of x in equation 1.
(250-2y)+y=160
250-y=160
y=90
put value of y in equation 1.
x+90=500
x=410
there are 410 chickens and 90 pigs in barn
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