A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an island. The island is 4 miles due north of the shoreline. The visitor plans to travel from the cottage to the island by running and swimming. If the visitor runs at a rate of 6 mph and swims at a rate of 2 mph, how far should the visitor run to minimize the time it takes to reach the island?

0,0

step-by-step explanation:

3+x

step-by-step explanation:

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.