A herd of elephants on the savannah is moving in a straight line at 4 kilometers per hour, headed directly toward a biologist who has been tracking them. Meanwhile, the biologist is also driving toward
them at 69 kilometers per hour. If they started out 14 kilometers apart, how long will it be before they
encounter one another?

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.