Afarmer has a square field that measures 100 m on a side he wants to irrigate as much of the field as he possibly can using a circular irrigation system

The solution for the given system of equations (x,y) is (1,1).

Step-by-step explanation:

The given system of equations are and .

The given equations can be modified as :

 ----------(1)

  --------(2)

To solve the system of equations, you can use elimination method.

The first step is to add both the equations.

(+)

 --------------------

    8x      = 8    

⇒ x = 8/8

⇒ x = 1.

The x value is 1.

The second step is to substitute x = 1 in any of the two equations.

So, put x = 1 in equation (1),

⇒ 5(1) + y = 6

⇒ 5 + y = 6

Subtract 5 on both sides, to get y value.

⇒ 5+y-5 = 6-5

⇒ y = 1

The y value is 1.

The solution to the system of equations is be given by (x,y).

Therefore, the solution is (1,1).